The Legacy of Kurt Mahler
A Mathematical Selecta
Editors
Michael Baake
Universität Bielefeld, GermanyYann Bugeaud
Université de Strasbourg, FranceMichael Coons
University of Newcastle, Australia
pp. 1–2 PrefaceJohn H. Coates
DOI 10.4171/DMS/8/1pp. 3–11 Introduction to “Mahler Selecta”Michael BaakeJonathan M. BorweinYann BugeaudMichael Coons
DOI 10.4171/DMS/8/2pp. 13–27 DOI 10.4171/DMS/8/3The mathematical works of Kurt Mahlerpp. 29–43 Mahler’s work on the geometry of numbersJan-Hendrik Evertse
DOI 10.4171/DMS/8/4pp. 45–56 Mahler’s measure for polynomials in several variablesDavid W. Boyd
DOI 10.4171/DMS/8/5pp. 57–77 Mahler’s work and algebraic dynamical systemsDouglas LindKlaus Schmidt
DOI 10.4171/DMS/8/6pp. 79–93 Mahler's classification of complex numbersMasaaki AmouYann Bugeaud
DOI 10.4171/DMS/8/7pp. 95–122 Mahler's methodBoris Adamczewski
DOI 10.4171/DMS/8/8pp. 123–148 Mahler and transcendence: effective constructions in transcendental number theoryYuri Nesterenko
DOI 10.4171/DMS/8/9pp. 149–171 Mahler’s work on Diophantine equations and subsequent developmentsJan-Hendrik EvertseKálmán GyőryCameron L. Stewart
DOI 10.4171/DMS/8/10pp. 173–178 The Skolem-Mahler-Lech theoremJason P. Bell
DOI 10.4171/DMS/8/11pp. 179–190 A Mahler miscellanyYann BugeaudMichael Coons
DOI 10.4171/DMS/8/12pp. 191–216 Reprint: Arithmetic properties of solutions of a class of functional equations (1929)Kurt Mahler
DOI 10.4171/DMS/8/13pp. 217–232 Reprint: On the vanishing of power series of several variables in special point sequences (1930)Kurt Mahler
DOI 10.4171/DMS/8/14pp. 233–274 Reprint: Arithmetic properties of a class of transcendental-transcendent functions (1930)Kurt Mahler
DOI 10.4171/DMS/8/15pp. 275–279 Reprint: On relations between the number and Liouville numbers (1930)Kurt Mahler
DOI 10.4171/DMS/8/16pp. 281–314 Reprint: On the approximation of the exponential function and the logarithm. I, II (1931/32)Kurt Mahler
DOI 10.4171/DMS/8/17pp. 315–324 Reprint: On the measure of all -numbers (1932)Kurt Mahler
DOI 10.4171/DMS/8/18pp. 325–331 Reprint: A proof of transcendence of the -adic exponential function (1932)Kurt Mahler
DOI 10.4171/DMS/8/19pp. 333–366 Reprint: On the approximation of algebraic numbers. I: On the greatest prime divisor of binary forms (1933)Kurt Mahler
DOI 10.4171/DMS/8/20pp. 367–386 Reprint: On the approximation to algebraic numbers. II: On the number of representations of integers by binary forms (1933)Kurt Mahler
DOI 10.4171/DMS/8/21pp. 387–398 Reprint: On the rational points on curves of genus one (1934)Kurt Mahler
DOI 10.4171/DMS/8/22pp. 399–436 Reprint: On the lattice points on curves of genus (1935)Kurt Mahler
DOI 10.4171/DMS/8/23pp. 437–448 Reprint: An arithmetic property of Taylor coefficients of rational functions (1935)Kurt Mahler
DOI 10.4171/DMS/8/24pp. 449–457 Reprint: Ein neues Prinzip für Transzendenzbeweise (1935)Jan PopkenKurt Mahler
DOI 10.4171/DMS/8/25pp. 459–474 Reprint: On the decimal expansion of certain irrational numbers (1937)Kurt Mahler
DOI 10.4171/DMS/8/26pp. 475–481 Reprint: On the number of integers which can be represented by a binary form (1938)Pál ErdősKurt Mahler
DOI 10.4171/DMS/8/27pp. 483–520 Reprint: On lattice points in -dimensional star bodies (1946)Kurt Mahler
DOI 10.4171/DMS/8/28pp. 521–525 Reprint: On a theorem of Liouville in fields of positive characteristic (1949)Kurt Mahler
DOI 10.4171/DMS/8/29pp. 527–555 Reprint: On the approximation of logarithms of algebraic numbers (1953)Kurt Mahler
DOI 10.4171/DMS/8/30pp. 557–570 Reprint: On the approximation of (1953)Kurt Mahler
DOI 10.4171/DMS/8/31pp. 571–593 Reprint: On compound convex bodies. I (1955)Kurt Mahler
DOI 10.4171/DMS/8/32pp. 595–598 Reprint: On the fractional parts of the powers of a rational number. II (1957)Kurt Mahler
DOI 10.4171/DMS/8/33pp. 599–614 Reprint: An interpolation series for continuous functions of a -adic variable (1958)Kurt Mahler
DOI 10.4171/DMS/8/34pp. 615–618 Reprint: An application of Jensen's formula to polynomials (1960)Kurt Mahler
DOI 10.4171/DMS/8/35pp. 619–623 Reprint: On some inequalities for polynomials in several variables (1962)Kurt Mahler
DOI 10.4171/DMS/8/36pp. 625–629 Reprint: A remark on a paper of mine on polynomials (1964)Kurt Mahler
DOI 10.4171/DMS/8/37pp. 631–637 Reprint: An inequality for the discriminant of a polynomial (1964)Kurt Mahler
DOI 10.4171/DMS/8/38pp. 639–648 Reprint: An unsolved problem on the powers of (1968)Kurt Mahler
DOI 10.4171/DMS/8/39pp. 649–659 Reprint: Remarks on a paper by W. Schwarz (1969)Kurt Mahler
DOI 10.4171/DMS/8/40pp. 661–667 Reprint: On algebraic differential equations satisfied by automorphic functions (1969)Kurt Mahler
DOI 10.4171/DMS/8/41pp. 669–677 Reprint: Some suggestions for further research (1984)Kurt Mahler
DOI 10.4171/DMS/8/42p. 679 AcknowledgementsMichael BaakeYann BugeaudMichael Coons
DOI 10.4171/DMS/8/43