References for Kurt Mahler
An obituary of Kurt Mahler by A. J. Van Der Poorten
[1] On the translation properties of a simple class of arithmetical functions (part two of: Norbert Wiener, The spectrum of an array and its application to the study of the translation properties of a simple class of arithmetical functions), J. Math. and Physics 6, (1927), 158-163 [Jbuch 53, 205] [Remark: Reprinted in Publ. MIT Ser. II 62 No. 118 (1927)]
[2] Über die Nullstellen der unvollständigen Gammafunktionen, Dr. Dissertation Frankfurt, Rendiconti del Circolo Matematico di Palermo 54 (1930), (1927), 1-41 [Jbuch 56, 310] [Remark: Note "Lebenslauf" at end of thesis.]
[3] Über einen Satz von Mellin, Math. Ann. 100, (1928), 384-398 [Jbuch 54, 369]
[4] Arithmetische Eigenschaften der Lösungen einer Klasse von Funktionalgleichungen, Math. Ann. 101, (1929), 342-366 [Jbuch 55, 115; 56, 185] [Remark: Plus "Berichtigung", Math. Ann. 103]
[5] Über die Nullstellen der Abschnitte der hypergeometrischen Reihe, Math. Ann. 101, (1929), 367-374 [Jbuch 55, 219]
[6] Zur Fortsetzbarkeit gewisser Dirichletscher Reihen, Math. Ann. 102, (1929), 30-48 [Jbuch 55, 201]
[7] Über das Verschwinden von Potenzreihen mehrerer Veränderlichen in speziellen Punktfolgen, Math. Ann. 103, (1930), 573-587 [Jbuch 56, 186]
[8] Arithmetische Eigenschaften einer Klasse transzendental-transzendente Funktionen, Math. Z. 32, (1930), 545-585 [Jbuch 55, 186]
[9] Über Beziehungen zwischen der Zahl e und Liouvilleschen Zahlen, Math. Z. 31, (1930), 729-732 [Jbuch 56, 188]
[10] Ein Beweis des Thue-Siegelschen Satzes über die Approximation algebraischer Zahlen für binomische Gleichungen, Math. Ann. 105, (1931), 267-276 [Zblatt 2, 184]
[11] Zur Approximation der Exponentialfunktion und des Logarithmus. Teil I, J. für Math. 166, (1931), 118-136 [Zblatt 3, 151] Work partially supported by the Australian Research Council. 1980 Mathematics subject classification(1985 revision): 01A70, 11-0314 Kurt Mahler 1903-1988
[12] Über das Mass der Menge aller S -Zahlen, Math. Ann. 106, (1932), 131-139 [Zblatt 3, 246]
[13] Zur Approximation der Exponentialfunktion und des Logarithmus. Teil II, J. für Math. 166, (1932), 137-150 [Zblatt 3, 388]
[14] Ein Beweis der Transzendenz der P -adischen Exponentialfunktion, J. für Math. 169, (1932), 61-66 [Zblatt 6, 11]
[15] Einige Sätze über Diophantische Approximationen, Jahresbericht d. Deutschen Math. Verein. 41, (1932), 74-76
[16] Über die Darstellung von Zahlen durch Binärformen höheren Grades, Kongressbericht, Zürich, 1932, (1932), 2pp
[17] Zur Approximation algebraischer Zahlen. I ( Über den grössten Primteiler binärer Formen), Math. Ann. 107, (1933), 691-730 [Zblatt 6, 105]
[18] Zur Approximation algebraischer Zahlen II ( Über die Anzahl der Darstellungenganzer Zahlen durch Binärformen), Math. Ann. 108, (1933), 37-55 [Zblatt 6, 156]
[19] Zur Approximation algebraischer Zahlen III ( Über die mittlere Anzahl der Darstellungen grosser Zahlen durch binäre Formen), Acta Math. 62, (1933), 91-166 [Zblatt 8, 198]
[20] Über den grössten Primteiler der Polynome X^2 +/- 1 , Archiv Math. og. Naturv. 41, (1933), 1-8 [Zblatt 12, 394]
[21] Über die rationalen Punkte auf Kurven vom Geschlecht Eins, J. für Math. 170, (1933), 168-178 [Zblatt 8, 200]
[22] Zur Approximation P -adischer Irrationalzahlen, Nieuw Arch. Wisk. 18, (1934), 22-34 [Zblatt 9, 200]
[23] Über die Darstellungen einer Zahl als Summe von drei Biquadraten, Mathematica(Zutphen) 3, (1934), 69-72 [Zblatt 9, 298]
[24] Über Diophantische Approximationen in Gebiete der p -adische Zahlen, Jahresbericht d. Deutschen Math. Verein. 44, (1934), 250-255 [Zblatt 10, 198]
[25] Eine arithmetische Eigenschaft der recurrierenden Reihen, Mathematica (Zutphen) 3, (1934), 153-156 [Zblatt 10, 390]
[26] On Hecke's theorem on the real zeros of the L -functions and the class number ofquadratic fields, J. London Math. Soc. 9, (1935), 298-302 [Zblatt 10, 250]
[27] Über eine Klasseneinteilung der P -adischen Zahlen, Mathematica (Zutphen) 3B, (1935), 177-185 [Zblatt 11, 58]
[28] On the lattice points on curves of genus 1, Proc. London Math. Soc. 39, (1935), 431-466 [Zblatt 12, 150]
[29] On the division-values of Weierstrass's "" -function, Quart. J. Math. Oxford 6, (1935), 74-77 [Zblatt 11, 117] Kurt Mahler 1903-1988 15
[30] Über transzendente P -adische Zahlen, Compositio Math. 2, (1935), 259-275; ACorrection, ibid. (1948), 2pp [Zblatt 12, 53]
[31] Eine arithmetische Eigenschsaft der Taylor-Koeffizienten rationaler Funktionen, Proc. Kon. Nederlandsche Akad. v. Wetenschappen 38, (1935), 50-60 [Zblatt 10, 390]
[32] Über den grössten Primteiler spezieller Polynome zweiten Grades, Archiv Math.og. Naturv. 41, Nr 6, (1935), 3-26 [Zblatt 13, 389]
[33] (with J. Popken) Ein neues Prinzip für Transzendenzbeweise, Proc. Kon. Nederlandsche Akad. v. Wetenschappen 38, (1935), 864-871 [Zblatt 12, 341]
[34] Über Pseudobewertungen, I, Acta Math. 66, (1935), 79-119 [Zblatt 13, 51]
[35] Eine arithmetische Eigenschaft der kubischen Binärformen, Nieuw Arch. Wisk. 18, (1936), 1-9 [Zblatt 14, 8]
[36] Ueber Polygone mit Um- oder Inkreis, Mathematica (Zutphen) 4A, (1936), 33-42 [Zblatt 13, 176]
[37] Über Pseudobewertungen II, Acta Math. 67, (1936), 51-80 [Zblatt 14, 340]
[38] Über Pseudobewertungen III, Acta Math. 67, (1936), 283-328 [Zblatt 16, 5]
[39] Über Pseudobewertungen Ia, Proc. Kon. Nederlandsche Akad. v. Wetenschappn 39, (1936), 57-65 [Zblatt 13, 147]
[40] Note on Hypothesis K of Hardy and Littlewood, J. London Math. Soc. 11, (1936), 136-138 [Zblatt 13, 391]
[41] Ein Analog zu einem Schneiderschen Satz, I, Proc. Kon. Nederlandsche Akad. v. Wetenschappen 39, (1936), 633-640 [Zblatt 14, 205]
[42] Ein Analog zu einem Schneiderschen Satz, II, Proc. Kon. Nederlandsche Akad. v. Wetenschappen 39, (1936), 729-737 [Zblatt 14, 205]
[42a] Pseudobewertungen, Proc. ICM, Oslo (1936), 1p.
[43] Über die Annäherung algebraischer Zahlen durch periodische Algorithmen, Acta Math. 68, (1937), 109-144 [Zblatt 17, 57]
[44] Neuer Beweis eines Satzes von A. Khintchine, Mat. Sb. I, 43, (1937), 961-963 [Zblatt 16, 155]
[45] Über die Dezimalbruchentwicklung gewisser Irrationalzahlen, Mathematica (Zutphen) B6, (1937), 22-26 [Zblatt 18, 111]
[46] Arithmetische Eigenschaften einer Klasse von Dezimalbrüchen, Proc. Kon. Nederlandsche Akad. v. Wetenschappen 40, (1937), 421-428 [Zblatt 17, 56]
[47] (with P. Erd"ös) On the number of integers which can be represented by a binaryform, J. London Math. Soc. 13, (1938), 134-139 [Zblatt 18, 344]
[48] On a special class of Diophantine equations, I, J. London Math. Soc. 13, (1938), 169-173 [Zblatt 19, 250] 16 Kurt Mahler 1903-1988
[49] On a special class of Diophantine equations, II, J. London Math. Soc. 13, (1938), 173-177 [Zblatt 19, 250]
[50] Ein P -adisches Analogon zu einem Satz von Tchebycheff, Mathematica (Zutphen)B7, (1938), 2-6 [Zblatt 18, 346]
[51] On the fractional parts of the powers of a rational number, Acta Arith. 3, (1938), 89-93 [Zblatt 19, 250]
[52] Über einen Satz von Th. Schneider, Acta Arith. 3, (1938), 94-101 [Zblatt 19, 250]
[53] A theorem on inhomogenous Diophantine inequalities, Proc. Kon. Nederlandsche Akad. v. Wetenschappen 41, (1938), 634-637 [Zblatt 19, 51]
[54] Eine Bemerkung zum Beweis der Eulerschen Summenformel, Mathematica (Zutphen) B7, (1938), 33-42 [Zblatt 19, 403]
[55] On Minkowski's theory of reduction of positive definite quadratic forms, Quart. J. Math. Oxford 9, (1938), 259-262 [Zblatt 19, 395]
[56] Ein Übertragungsprinzip für lineare Ungleichungen, Math. ^Casopis 68, (1939), 85-92 [Math. Rev. 1, 202], [RNT H05-1]
[57] Ein Übertragungsprinzip für konvexe Körper, Math. ^Casopis 68, (1939), 93-102 [Math. Rev. 1, 202H05-2]
[58] (with P. Erdös) Some arithmetical properties of the convergents of a continued fraction, J. London Math. Soc. 14, (1939), 12-18 [Zblatt 20, 390]
[59] Ein Minimalproblem für convexe Polygone, Mathematica (Zutphen) B7, (1938), 118-127 [Zblatt 20, 50]
[60] On a the solutions of algebraic differential equations, Proc. Kon. Nederlandsche Akad. v. Wetenschappen 42, (1939), 61-63 [Zblatt 21, 27]
[61] A proof of Hurwitz's theorem, Mathematica (Zutphen) 8B, (1939), 57-61 [Math. Rev. 1, 39], [RNT J28-1]
[62] Bemerkungen über die Diophantischen Eigenschaften der reellen Zahlen, Mathematica (Zutphen) 8B, (1939), 11-16 [Zblatt 21, 296]
[63] On the minimum of positive definite Hermitian forms, J. London Math. Soc. 14, (1939), 137-143 [Zblatt 22, 6]
[64] On a geometrical representation of p-adic numbers, Ann. of Math. (2) 41, (1940), 8-56 [Math. Rev. 1, 295], [RNT J64-2]
[65] On the product of two complex linear polynomials in two variables, J. London Math. Soc. 15, (1940), 213-236 [Math. Rev. 2, 148], [RNT J56-1] [Remark: Mahler writes "This is an extension of an earlier paper which was accepted for publication by Acta Arith. in February 1939 of which I had just received the first proofs when war broke out".]
[66] Note on the sequence pn (mod 1) , Nieuw Arch. Wisk. 20, (1940), 176-178 [Math. Rev. 1, 202], [RNT J24-1] Kurt Mahler 1903-1988 17 [67] (with G. Billing) On exceptional points on cubic curves, J. London Math. Soc.15, (1940), 32-43 [Zblatt 26, 199], [Math. Rev. 1, 266]
[67] (with G. Billing) On exceptional points on cubic curves, J. London Math. Soc. 15 (1940, 32-43 [Zblat 26, 199], [Math. Rev. 1, 266]
[68] On a special functional equation, J. London Math. Soc. 15, (1940), 115-123[Math. Rev. 2, 133], [RNT P80-3]
[69] Über Polynome mit ganzen rationalen Koeffizienten, Mathematica (Zutphen) 8B, (1940), 173-182 [Math. Rev. 2, 148], [RNT J84-2]
[70] On reduced positive definite ternary quadratic forms, J. London Math. Soc. 15, (1940), 193-195 [Zblatt 27, 151], [Math. Rev. 2, 119]
[71] On a property of positive definite ternary quadratic forms, J. London Math. Soc.15, (1940), 305-320 [Math. Rev. 2, 25], [RNT J48-1]
[72] An analogue to Minkowski's Geometry of Numbers in a field of series, Ann. of Math. (2), 42, (1941), 488-522 [Math. Rev. 2, 350], [RNT H05-4]
[73] On ideals in the Cayley-Dickson algebra, Proc. Royal Irish Academy 48, (1942), 123-133 [Math. Rev. 4, 185]
[74] Remarks on ternary Diophantine equations, Amer. Math. Monthly 49, (1942), 372-378 [Math. Rev. 4, 34], [RNT N32-1]
[75] Note on lattice points in star domains, J. London Math. Soc. 17, (1942), 130-133 [Math. Rev. 4, 212], [RNT H15-2]
[76] On lattice points in an infinite star domain, J. London Math. Soc. 18, (1943), 233-238 [Math. Rev. 6, 11], [RNT H20-4]
[77] A problem of Diophantine approximation in quaternions, Proc. London Math. Soc. (2) 48, (1944), 435-466 [Math. Rev. 8, 137], [RNT J32-3]
[78] (with B. Segre) On the densest packing of circles, Amer. Math. Monthly 51, (1944), 261-270 [Zblatt 60, 117; 60, 349], [Math. Rev. 6, 16]
[79] On a theorem of Minkowski on lattice points in non-convex point sets, J. London Math. Soc. 19, (1944), 201-205 [Math. Rev. 7, 244], [RNT H25-3]
[80] On lattice points in the domain |xy| <= 1 , |x + y| <= 5^(1/2) , and applications toasymptotic formulae in lattice point theory, I, Proc. Cambridge Phil. Soc. 40, (1944), 107-116 [Math. Rev. 6, 119], [RNT H20-4]
[81] On Lattice points in the domain |xy| <= 1 , |x + y| <= 5^(1/2) , and applications toasymptotic formulae in lattice point theory, II, Proc. Cambridge Phil. Soc. 40, (1944), 116-120 [Math. Rev. 6, 119], [RNT H20-4]
[82] A theorem of B. Segre, Duke Math. J. 12, (1945), 367-371 [Math. Rev. 6, 258], [RNT J08-2]
[83] Lattice points in two-dimensional star domains, I, Proc. London Math. Soc. 49, (1946), 128-157 [Math. Rev. 8, 12], [RNT H15-6]
[84] Lattice points in two-dimensional star domains, II, Proc. London Math. Soc. 49, (1946), 158-167 [Math. Rev. 8, 195], [RNT H20-10] 18 Kurt Mahler 1903-1988
[85] Lattice points in two-dimensional star domains, III, Proc. London Math. Soc. 49, (1946), 168-183 [Math. Rev. 8, 19], [RNT H20-11]
[86] On lattice points in a cylinder, Quart. J. Math. Oxford 17, (1946), 16-18 [Math. Rev. 7, 368], [RNT H10-3]
[87] On lattice points in n -dimensional star bodies, I, Existence theorems, Philos. Trans. Roy. Soc. London Ser. A 187, (1946), 151-187 [Math. Rev. 8, 195], [RNT H15-7]
[88] Lattice points in n -dimensional star bodies. II. Reducibility theorems. I, II, III, IV, Proc. Kon. Nederlandsche Akad. v. Wetenschappen 49, (1946), 331-343, 444-454, 524-532, 622-631 = Indag. Math. 8, 200-212, 299-309, 343-351, 381- 390 [Math. Rev. 8, 12], [RNT H15-8, 9]
[89] (with H. Davenport) Simultaneous Diophantine approximation, Duke Math. J. 13, (1946), 105-111 [Math. Rev. 7, 506], [RNT J12-6]
[90] Lattice points in n -dimensional star bodies, Rev. Univ. Nac. Tucumán, A 5, (1946), 113-124 [Math. Rev. 8, 566], [RNT H15-10]
[91] The theorem of Minkowski-Hlawka, Duke Math. J. 13, (1946), 611-621 [Math. Rev. 8, 444], [RNT H25-5]
[92] On reduced positive definite quarternary quadratic forms, Nieuw Arch. Wisk.(1946), 207-212 [Math. Rev. 8, 369], [RNT J44-4]
[93] A remark on the continued fractions of conjugate algebraic numbers, Simon Stevin 25, (1947), 45-48 [Math. Rev. 8, 318], [RNT A56-10]
[94] On irreducible convex domains, Proc. Kon. Nederlandsche Akad. v. Wetenschappen 50, (1947), 98-107 = Indag. Math. 9, 73-82 [Math. Rev. 8, 445], [RNT H15-13]
[95] On the area and the densest packing of convex domains, Proc. Kon. Nederlandsche Akad. v. Wetenschappen 50, (1947), 108-118 = Indag. Math. 9, 83-93 [Math. Rev. 8, 445], [RNT H15-14]
[96] On the generating functions of integers with a missing digit [in Chinese], K'o Hsüeh Science 29, (1947), 265-267 [Math. Rev. 9, 79], [RNT J76-13]
[97] On the adjoint of a reduced positive definite ternary quadratic form, Sci. Rec. Academia Sinica 2, (1947), 21-31 [Math. Rev. 9, 270], [RNT E20-18]
[98] On the minimum determinant and the circumscribed hexagons of a convex domain, Proc. Kon. Nederlandsche Akad. v. Wetenschappen 50, (1947), 692-703= Indag. Math. 9, 326-337 [Math. Rev. 9, 10], [RNT H05-10]
[99] (with K.C. Hallum) On the minimum of a pair of positive definite Hermiteanforms, Nieuw Arch. Wisk. 22, (1948), 324-354 [Math. Rev. 9, 334], [RNT J28-4]
[100] On the admissible lattices of automorphic star bodies, Sci. Rec. Academia Sinica 2, (1948), 146-148 [Math. Rev. 1, 102], [RNT H15-22] Kurt Mahler 1903-1988 19
[101] On lattice points in polar reciprocal convex domains, Proc. Kon. Nederlandsche Akad. v. Wetenschappen 51, (1948), 176-179 = Indag. Math. 10, 482-485 [Math. Rev. 9, 501], [RNT H05-11]
[102] Sui determinante minimi delle sezione di un corpo convesso, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. (8) 5, (1948), 251-252 [Math. Rev. 10, 593], [RNT H05-17]
[103] On the successive minima of a bounded star domain, Ann. Mat. Pura Appl. (4)27, (1948), 153-163 [Math. Rev. 11, 13], [RNT H15-37]
[104] On the critical lattices of arbitrary point sets, Canad. J. Math. 1, (1949), 78-87 [Math. Rev. 10, 355], [RNT H15-29]
[105] On the minimum determinant of a special point set, Proc. Kon. Nederlandsche Akad. v. Wetenschappen 52, (1949), 633-642= Indag. Math. 11 [Math. Rev. 10, 512], [RNT H15-33]
[106] On a theorem of Liouville in fields of positive characteristic, Canad. J. Math. 1, (1949), 397-400 [Math. Rev. 11, 159], [RNT J68-9]
[107] On Dyson's improvement of the Thue-Siegel theorem, Proc. Kon. Nederlandsche Akad. v. Wetenschappen 52, (1949), 449-458 = Indag. Math. 11, 1175-1184 [Math. Rev. 11, 583], [RNT J68-9]
[108] (with W. Ledermann) On lattice points in a convex decagon, Acta Math. Acad. Sci. Hungar. 81, (1949), 319-351 [Math. Rev. 11, 233], [RNT H10-15]
[109] On the continued fractions of quadratic and cubic irrationals, Ann. Mat. Pura Appl. (4) 30, (1949), 147-172 [Math. Rev. 12, 245], [RNT A56-19]
[109a] A correction to Òn the continued fractions of quadratic and cubic irrationals",Compositio Math. 8, (1949), p112 [Math. Rev. 12, 319], [RNT Q25-5]
[110] On the arithmetic on algebraic curves, in Seminar on Algebra and Number Theory, Chicago, (1949), 28-32
[111] On algebraic relations between two units of an algebraic field, in "Algèbre etthéorie des nombres", Colloques internationaux du CNRS 24, (1949), 47-55. CNRS, Paris, 1950 [Math. Rev. 13, 202], [RNT D40-16]
[112] On a theorem of Dyson [in Russian], Mat. Sb. 26, (1950), 457-462 [Math. Rev. 12, 319], [RNT J16-10]
[113] Geometry of numbers, Lectures given at the University of Colorado in the summer of 1950, (1950),
[114] (with J.W.S. Cassels and W. Ledermann) Farey section in k(i) and k(ae) , Philos. Trans. Roy. Soc. London Ser. A 243, (1951), 585-626 [Math. Rev. 13, 323], [RNT J56-13]
[114a] Farey section in the fields of Gauss and Eisenstein, Proc. International Congress Cambridge, Mass. 1950 1, (1952), 281-285 [Math. Rev. 13, 538]
[115] On the generating function of the integers with a missing digit, J. Indian Math. Soc. 15A, (1951), 34-40 [Math. Rev. 13, 213], [RNT J76-14] [Remark: Translation of (96)] 20 Kurt Mahler 1903-1988 [116] On a question in elementary geometry, Simon Stevin 28, (1951), 90-97 [Math. Rev. 13, 152]
[117] On the lattice determinants of two particular point sets, J. London Math. Soc.28, (1953), 229-232 [Math. Rev. 14, 850], [RNT H20-19]
[118] On the approximation of logarithms of algebraic numbers, Philos. Trans. Roy. Soc. London Ser. A 245, (1953), 371-398 [Math. Rev. 14, 624], [RNT J80-8]
[119] On the approximation of Pi , Proc. Kon. Nederlandsche Akad. v. WetenschappenSer. A 56, (1953), 30-42 = Indag. Math. 15, 30-42 [Math. Rev. 14, 957], [RNT J80-9]
[120] (with J. Popken) Over een Maximumprobleem uit de Rekenkunde, Nieuw Arch. Wisk. (3) 1, (1953), 1-15 [Math. Rev. 14, 852]
[121] On the greatest prime factor of axm + byn , Nieuw Arch. Wisk.(3) 1, (1953), 113-122 [Math. Rev. 15, 289], [RNT N32-14]
[122] (with P. M. Cohn) On the composition of pseudo-valuations, Nieuw Arch. Wisk.(3) 1, (1953), 161-198 [Math. Rev. 15, 395]
[123] A problem in elementary geometry, Math. Gaz. 37, (1954), 241-243 [Math. Rev. 16, 738]
[124] On a problem in the geometry of numbers, Rendi. Mat. Appl. (5) 14, (1954), 38-41 [Math. Rev. 16, 802], [RNT H05-38]
[125] On a problem in Diophantine approximations, Archiv Math. og. Naturv. 6, (1955), 208-214 [Math. Rev. 16, 1002], [RNT J12-29]
[126] On compound convex bodies, I, Proc. London Math. Soc. (3) 5, (1955), 358-379 [Math. Rev. 17, 589], [RNT H05-46]
[127] On compound convex bodies, II, Proc. London Math. Soc. (3) 5, (1955), 380-384 [Math. Rev. 17, 589], [RNT H05-47]
[128] The p th compound of a sphere, Proc. London Math. Soc. (3) 5, (1955), 385-391 [Math. Rev. 17, 402], [RNT H05-49]
[129] On the minima of compound quadratic forms, Czech. Math. J. (5) 80, (1955), 180-193 [Math. Rev. 17, 589], [RNT H05-48]
[130] A remark on Siegel's theorem on algebraic curves, Mathematika 2, (1955), 116-127 [Math. Rev. 18, 565], [RNT D40-27]
[131] On the Taylor coefficients of rational functions, Proc. Cambridge Phil. Soc. 52, (1956), 39-48 [Math. Rev. 17, 597], [RNT Q05-25]
[131a] Addendum to Òn the Taylor coefficients of rational functions", Proc. Cambridge Phil. Soc. 53, (1957), p544 [Math. Rev. 19, 691], [RNT Q05-26]
[132] Invariant matrices and the geometry of numbers, Proc. Roy. Soc. Edinburgh A 64, (1956), 223-238 [Math. Rev. 18, 196], [RNT H05-50]
[133] A property of the star domain jxyj ^ 1 , Mathematika 3, (1956), p80 [Math. Rev. 18, 21], [RNT H20-21]Kurt Mahler 1903-1988 21 [134] Über die konvexen Körper, die sich einem Sternkörper einbeschrieben lassen,Math. Z. 66, (1957), 25-33 [Math. Rev. 18, 668]
[135] On the fractional parts of the powers of a rational number, II, Mathematika 4, (1957), 122-124 [Math. Rev. 20#3], [RNT J68-19]
[136] A matrix representation of the primitive residue classes (mod 2n) , Proc. Amer. Math. Soc. 8, (1957), 525-531 [Math. Rev. 19, 388], [RNT A06-10]
[137] A factorial series for the rational multiples of e , Math. Gaz. 42, (1958), 13-16 [Math. Rev. 20#3094], [RNT A68-15]
[138] On the Chinese remainder theorem, Math. Nachr. 18, (1958), 120-122 [Math. Rev. 20#3048], [RNT Z15-38]
[139] An interpolation series for continuous functions of a p -adic variable, J. für Math.199, (1958), 23-34 [Math. Rev. 20#], [RNT Q25-11]
[140] An arithmetic property of groups of linear transformations, Acta Arith. 5, (1959), 197-203 [Math. Rev. 21#6361], [RNT J28-20]
[141] On a theorem of Shidlovski, lectures given at the Math. Centrum, Amsterdam, December 1959, (1959),
[142] On a theorem by E. Bombieri, Proc. Kon. Nederlandsche Akad. v. Wetenschappen Ser. A 63, (1960), 245-253 = Indag. Math. 22, 245-253 [Math. Rev. 22#4705], [RNT J68-24]
[142a] On a theorem by E. Bombieri, Proc. Kon. Nederlandsche Akad. v. WetenschappenSer. A 64, (1960), 141= Indag. Math. 23, 141 [Math. Rev. 23#A885], [RNT J68-25]
[143] An application of Jensen's formula to polynomials, Mathematika 7, (1960), 98-100 [Math. Rev. 23#A1779], [RNT J76-38]
[144] On the zeros of the derivative of a polynomial, Philos. Trans. Proc. Roy. Soc. London Ser. A 264, (1961), 145-154 [Math. Rev. 24#A3271]
[145] A correction the the paper "An interpolation series for continuous functions of ap -adic variable", [Seq. No. 139], J. für Math. 208, (1961), 70-72 [Math. Rev. 25#3035], [RNT Q25-12]
[146] Lectures on Diophantine Approximations I : g -adic Numbers and Roth's Theorem, Lectures given at the University of Notre Dame in 1957, University of Notre Dame Press, Notre Dame, Indiana, 188 pages, (1961), [Math. Rev. 26#78], [RNT J02-14]
[147] (with D.J. Lewis) On the representation of integers by binary forms, Acta Arith.6, (1961), 333-363 [Math. Rev. 22#10952], [RNT D40-35]
[148] On some inequalities for polynomials in several variables, J. London Math. Soc.37, (1962), 341-344 [Math. Rev. 25#2036], [RNT J76-40]
[149] Geometric number theory, Lectures given at the University of Notre Dame in 1962, 151 pp, (1962), 22 Kurt Mahler 1903-1988 [150] On two extremum properties of polynomials, Illinois J. Math. 7, (1963), 681-701 [Math. Rev. 28#192]
[151] On the approximation of algebraic numbers by algebraic integers, J. Austral. Math. Soc. 3, (1963), 408-434 [Math. Rev. 29#1182], [RNT J68-43]
[152] Periodic algorithms for algebraic number fields (mimeographed lecture notes),4th Summer Research Institute of the Austral. Math. Soc. University of Sydney, January 1964 (1964), 19pp
[153] A remark on a paper of mine on polynomials, Illinois J. Math. 8, (1964), 1-4 [Math. Rev. 28#2194]
[154] An inequality for the discriminant of a polynomial, Michigan Math. J. 11, (1964), 257-262 [Math. Rev. 29#3465], [RNT C05-29]
[155] Transcendental numbers, J. Austral. Math. Soc. 4, (1964), 393-396 [Math. Rev. 30#4727], [RNT J02-17]
[156] An inequality for a pair of polynomials that are relatively prime, J. Austral. Math. Soc. 4, (1964), 418-420 [Math. Rev. 30#3193], [RNT C05-33]
[157] Inequalities for ideal bases in algebraic number fields, J. Austral. Math. Soc. 4, (1964), 425-448 [Math. Rev. 31#1243], [RNT R24-33]
[158] (with G. Baumschlag) Equations in free metabelian groups, Michigan Math. J.12, (1965), 417-419 [Math. Rev. 31#5892]
[159] Arithmetic properties of lacunary power series with integral coefficients, J. Austral. Math. Soc. 5, (1965), 56-64 [Math. Rev. 32#7508], [RNT J76-53]
[160] A remark on recursive sequences, J. Math. Sci. Delhi 1, (1966), 12-17 [Math. Rev. 35#2853], [RNT B40-52]
[161] Transcendental numbers, Encyclopaedia Brittannica, (1966), 1 column
[162] A remark on Kronecker's theorem, Enseign Math. 12, (1966), 183-189 [Math. Rev. 35#1550], [RNT J20-39]
[163] (with G. Szekeres) On the approximation of real numbers by roots of integers,Acta Arith. 12, (1967), 315-320 [Math. Rev. 35#130]
[164] Applications of some formulae by Hermite to the approximation of exponentialsand logarithms, Math. Ann. 168, (1967), 200-227 [Math. Rev. 34#5754], [RNT J80-20]
[165] On a class of entire functions, Acta Math. Acad. Sci. Hungar. 18, (1967), 83-96 [Math. Rev. 34#5760], [RNT Q05-63]
[166] On a lemma by A. B. Shidl'ovski [in Russian], Math. Zametki Acad. Nauk SSR2, (1967), 25-32 [Math. Rev. 36#2561], [RNT J88-34]
[167] An unsolved problem on the powers of 3/2 , J. Austral. Math. Soc. 8, (1968), 313-321 [Math. Rev. 37#2694], [RNT K25-29]
[168] Perfect systems, Compositio Math. 19, (1968), 95-166 [Math. Rev. 39#458], [RNT J76-64] [Remark: First publication of a manuscript written in the 30s] Kurt Mahler 1903-1988 23
[169] Applications of a theorem by A. B. Shidlovski, Philos. Trans. Roy. Soc. London Ser. A 305, (1968), 149-173 [Math. Rev. 37#1322], [RNT J88-37]
[170] Remarks on a paper by W. Schwarz, J. Number Theory 1, (1969), 512-521 [Math. Rev. 40#2611], [RNT J76-65]
[171] On algebraic differential equations satisfied by automorphic functions, J. Austral. Math. Soc. 10, (1969), 445-450 [Math. Rev. 41#7099]
[172] Lectures on transcendental numbers (Summer Institute on Number Theory at Stony Brook, 1969), Proc. Symp. Pure Math. (Amer. Math. Soc.) XX, (1969), 248-274 [Math. Rev. 47#6620], [RNT I02-200]
[173] A lecture on the geometry of numbers of convex bodies, Bull. Amer. Math. Soc. 77, (1971), 319-325 [Math. Rev. 43#1926], [RNT H05-89]
[174] (with H. Brown) A generalization of Farey sequences, J. Number Theory 3, (1971), 364-370 [Math. Rev. 44#3959], [RNT B56-14]
[175] On formal power series as integrals of algebraic differential equations, Rend. Accad. Naz. dei Lincei (8) 50, (1971), 36-49 [Math. Rev. 45#8649]
[176] A remark on algebraic differential equations, Rend. Accad. Naz. dei Lincei (8)50, (1971), 174-184 [Math. Rev. 47#3358]
[177] An arithmetical remark on entire functions, Bull. Austral. Math. Soc. 5, (1971), 191-195 [Math. Rev. 45#5361]
[178] An elementary existence theorem for entire functions, Bull. Austral. Math. Soc.5, (1971), 415-419 [Math. Rev. 45#515]
[179] On the order function of a transcendental number, Acta Arith. 18, (1971), 63-76 [Math. Rev. 45#5090], [RNT I30-203.]
[180] Transcendental numbers. I. Existence and chief characteristics of transcendental numbers [in Hungarian], Mat. Lapok 22, (1971), 31-50 [Math. Rev. 58#27822], [RNT I20-224.]
[181] Transcendental numbers. II. Convergence of Laurent series and formal Laurentseries [in Hungarian], Mat. Lapok 23, (1972), 13-23 [Math. Rev. 58#27823], [RNT I20-224E]
[182] On the coefficients of the 2n -th transformation polynomial for j(!) , Acta Arith.21, (1972), 89-97 [Math. Rev. 46#5251], [RNT C10-206]
[182a] Obituary, L. J. Mordell, J. Number Theory 4, (1972), iii -iv [Math. Rev.45#5068], [RNT Z20-58G]
[183] The classification of transcendental numbers, Proc. Symp. Pure Math. (Amer. Math. Soc.) XXIV, (1973), 175-179 [Math. Rev. 49#2575], [RNT I30-204]
[184] Introduction to p -adic Numbers and their Functions, Cambridge Tracts in Mathematics 64 , Cambridge University Press, London/New York, (1973), [Math. Rev. 50#213], [RNT S02-201] 24 Kurt Mahler 1903-1988
[185] Arithmetical problems of the digits of the multiples of an irrational number, Bull. Austral. Math. Soc. 8, (1973), 191-203 [Math. Rev. 47#8448], [RNT K15- 204]
[186] On a class of Diophantine inequalities, Bull. Austral. Math. Soc. 8, (1973), 247-259 [Math. Rev. 47#8443], [RNT J20-202]
[187] A p -adic analogue of a theorem by J. Popken, J. Austral. Math. Soc. 16, (1973), 176-184 [Math. Rev. 49#2578], [RNT I25-203]
[188] On the coefficients of the transformation polynomials for the modular function,Bull. Austral. Math. Soc. 10, (1974), 197-218 [Math. Rev. 50#7034], [RNT F05-219]
[189] On rational approximations of the exponential function at rational points, Bull. Austral. Math. Soc. 10, (1974), 325-335 [Math. Rev. 50#244], [RNT I25-204]
[190] Polar analogues of two theorems by Minkowski, Bull. Austral. Math. Soc. 11, (1974), 121-129 [Math. Rev. 50#7039], [RNT H25-202]
[191] On the digits of the multiples of an irrational p -adic number, Proc. Cambridge Phil. Soc. 76, (1974), 417-422 [Math. Rev. 50#221], [RNT K15-206]
[192] How I became a mathematician, Amer. Math. Monthly 81, (1974), 981-983 [Math. Rev. 50#1820], [RNT Z20-205]
[193] On a paper by A. Baker on the approximation of rational powers of e , Acta Arith.27, (1975), 61-87 [Math. Rev. 51#3070], [RNT I25-211]
[194] A necessary and sufficient condition for transcendency, Math. Comp. 29, (1975), 145-153 [Math. Rev. 52#3072], [RNT I25-214]
[195] On the transcendency of the solutions of a special class of functional equations,Bull. Austral. Math. Soc. 13, (1975), 389-410 [Math. Rev. 53#2850], [RNT I65-205]
[196] On certain non-archimedean functions analogous to complex analytic functions,Bull. Austral. Math. Soc. 14, (1976), 23-36 [Math. Rev. 53#8025], [RNT Q25-225]
[197] An addition to a note of mine, Bull. Austral. Math. Soc. 14, (1976), 397-398 [Math. Rev. 54#2596], [RNT H25-202E]
[198] A theorem on Diophantine approximations, Bull. Austral. Math. Soc. 14, (1976), 463-465 [Math. Rev. 54#12667], [RNT J04-209]
[199] Corrigendum to Òn the transcendency of the solutions of a special class of functional equations", Bull. Austral. Math. Soc. 15, (1976), 477-478 [Math. Rev. 54#12674]
[200] Lectures on Transcendental Numbers, B. Divis and W. J. LeVeque, eds., Lecture Notes in Mathematics 546 , Springer-Verlag, Berlin/New York, (1976), [Math. Rev. 58#1077], [RNT I02-200E] Kurt Mahler 1903-1988 25
[201] On a class of non-linear functional equations connected with modular functions,J. Austral. Math. Soc. Ser. A 22, (1976), 65-118 [Math. Rev. 56#258], [RNT F10-229]
[202] On a class of transcendental decimal fractions, Comm. Pure Appl. Math. 29, (1976), 717-725 [Math. Rev. 54#12675], [RNT I30-214]
[203] On some special decimal fractions, in Hans Zassenhaus ed., Number Theory and Algebra, Academic Press, New York, 1977, (1977), 209-214 [Math. Rev. 58#539], [RNT I25-230]
[204] On a special function, J. Number Theory 12, (1980), 20-26 [Math. Rev.81c:30006]
[205] p -Adic Numbers and Their Functions (2nd edition of "Introduction to p -adic Numbers and Their Functions"), Cambridge Tracts in Mathematics 76 , Cambridge University Press, London/New York, (1981), [Math. Rev. 83i:12002], [RNT S02-201E]
[206] On two definitions of the integral of a p -adic function, Acta Arith. 47, (1980), 105-109 [Math. Rev. 82b:26024], [RNT Q25-281]
[207] On some irrational decimal fractions, J. Number Theory 13, (1981), 268-269 [Math. Rev. 82j:10061], [RNT I15-233]
[208] On a special non-linear functional equation, Philos. Trans. Roy. Soc. London Ser.A 378, (1981), 155-178 [Math. Rev. 82m:10042], [RNT F10-229E]
[209] Fifty years as a mathematician, J. Number Theory 14, (1982), 121-155 [Math. Rev. 84a:01051] [Remark: The present publication list is a correction and extension of the one appearing here.]
[210] On a special transcendental number, Arithmétix 5, (1982), 18-32 [Remark: Information bulletin of number theorists in France]
[211] On the zeros of a special sequence of polynomials, Math. Comp. 39, (1982), 207-212 [Math. Rev. 83k:12019]
[212] On a theorem in the geometry of numbers in a space of Laurent series, J. Number Theory 17, (1983), 403-416 [Math. Rev. 85e:11043]
[213] On the analytic solution of certain functional and difference equations, Proc. Roy. Soc. London Ser. A 389, (1983), 1-13 [Math. Rev. 85e:30041]
[214] Warum ich eine besondere Vorliebe für die Mathematik habe, Jbericht d. Deutschen Math.-Verein. 85, (1983), 50-53 [Math. Rev. 84f:01073] [Remark: Essay originally written in 1923]
[215] On Thue's theorem, Math. Scand. 55, (1984), 188-200 [Math. Rev. 86h:11030]
[216] Some suggestions for further research, Bull. Austral. Math. Soc. 29, (1984), 101-108 [Math. Rev. 85e:11043]
[217] (with D. H. Lehmer and A. J. van der Poorten) Integers with digits 0 or 1, Math. Comp. 46, (1986), 683-689 [Math. Rev. 87e:11017] 26 Kurt Mahler 1903-1988
[218] A new transfer principle in the geometry of numbers, J. Number Theory 24, (1986), 20-34 [Math. Rev. 88e:11054]
[219] The successive minima in the geometry of numbers and the distinction betweenalgebraic and transcendental numbers, J. Number Theory 22, (1986), 147-160 [Math. Rev. 87d:11043]
[220] On two analytic functions, Acta. Arith. XLIX, (1987), 15-20 [Math. Rev.89f:30006]
[221] The representation of squares to the base 3, Acta Arith. LIII, (1989), 99-106
Last updated Sept 1st 2003 (vkapoor at cecm.sfu.ca)