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