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