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Documenta mathematica
Tome Mahler Selecta (2019)
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Preface

Coates, John H. (éd.)

p. 1-2

Introduction [to ``Mahler Selecta'']
Baake, Michael ; Borwein, Jonathan M. ; Bugeaud, Yann ; Coons, Michael
p. 3-11

The mathematical works of Kurt Mahler
p. 13-27

Mahler's work on the geometry of numbers
Evertse, Jan-Hendrik
p. 29-43

Mahler's measure for polynomials in several variables
Boyd, David W.
p. 45-56

Mahler's work and algebraic dynamical systems
Lind, Douglas ; Schmidt, Klaus
p. 57-77

Mahler's classification of complex numbers
Amou, Masaaki ; Bugeaud, Yann
p. 79-93

Mahler's method
Adamczewski, Boris
p. 95-122

Mahler and transcendence: effective constructions in transcendental number theory
Nesterenko, Yuri
p. 123-148

Mahler's work on Diophantine equations and subsequent developments
Evertse, Jan-Hendrik ; Győry, Kálmán ; Stewart, Cameron L.
p. 149-171

The Skolem-Mahler-Lech theorem
Bell, Jason P.
p. 173-178

A Mahler miscellany
Bugeaud, Yann ; Coons, Michael
p. 179-190

Reprint: Arithmetische Eigenschaften der Lösungen einer Klasse von Funktionalgleichungen (1929)
Mahler, Kurt
p. 191-216

Reprint: Über das Verschwinden von Potenzreihen mehrerer Veränderlichen in speziellen Punktfolgen (1930)
Mahler, Kurt
p. 217-232

Reprint: Arithmetische Eigenschaften einer Klasse transzendental-transzendenter Funktionen (1930)
Mahler, Kurt
p. 233-274

Reprint: Über Beziehungen zwischen der Zahl $e$ und Liouvilleschen Zahlen (1930)
Mahler, Kurt
p. 275-279

Reprint: Zur Approximation der Exponentialfunktion und des Logarithmus. I, II (1931/32)
Mahler, Kurt
p. 281-314

Reprint: Über das Maß der Menge aller $S$-Zahlen (1932)
Mahler, Kurt
p. 315-324

Reprint: Ein Beweis der Transzendenz der $p$-adischen Exponentialfunktion (1932)
Mahler, Kurt
p. 325-331

Reprint: Zur Approximation algebraischer Zahlen. I: Über den größten Primteiler binärer Formen (1933)
Mahler, Kurt
p. 333-366

Reprint: Zur Approximation algebraischer Zahlen. II: Über die Anzahl der Darstellungen ganzer Zahlen durch Binärformen (1933)
Mahler, Kurt
p. 367-386

Reprint: Über die rationalen Punkte auf Kurven vom Geschlecht Eins (1934)
Mahler, Kurt
p. 387-398

Reprint: On the lattice points on curves of genus $1$ (1935)
Mahler, Kurt
p. 399-436

Reprint: Eine arithmetische Eigenschaft der Taylor-Koeffizienten rationaler Funktionen (1935)
Mahler, Kurt
p. 437-448

Reprint: Ein neues Prinzip für Transzendenzbeweise (1935)
Popken, Jan ; Mahler, Kurt
p. 449-457

Reprint: Über die Dezimalbruchentwicklung gewisser Irrationalzahlen (1937)
Mahler, Kurt
p. 459-474

Reprint: On the number of integers which can be represented by a binary form (1938)
Erdős, Pál ; Mahler, Kurt
p. 475-481

Reprint: On lattice points in $n$-dimensional star bodies (1946)
Mahler, Kurt
p. 483-520

Reprint: On a theorem of Liouville in fields of positive characteristic (1949)
Mahler, Kurt
p. 521-525

Reprint: On the approximation of logarithms of algebraic numbers (1953)
Mahler, Kurt
p. 527-555

Reprint: On the approximation of $\pi$ (1953)
Mahler, Kurt
p. 557-570

Reprint: On compound convex bodies. I (1955)
Mahler, Kurt
p. 571-593

Reprint: On the fractional parts of the powers of a rational number. II (1957)
Mahler, Kurt
p. 595-598

Reprint: An interpolation series for continuous functions of a $p$-adic variable (1958)
Mahler, Kurt
p. 599-614

Reprint: An application of Jensen's formula to polynomials (1960)
Mahler, Kurt
p. 615-618

Reprint: On some inequalities for polynomials in several variables (1962)
Mahler, Kurt
p. 619-623

Reprint: A remark on a paper of mine on polynomials (1964)
Mahler, Kurt
p. 625-629

Reprint: An inequality for the discriminant of a polynomial (1964)
Mahler, Kurt
p. 631-637

Reprint: An unsolved problem on the powers of $3/2$ (1968)
Mahler, Kurt
p. 639-648

Reprint: Remarks on a paper by W. Schwarz (1969)
Mahler, Kurt
p. 649-659

Reprint: On algebraic differential equations satisfied by automorphic functions (1969)
Mahler, Kurt
p. 661-667

Reprint: Some suggestions for further research (1984)
Mahler, Kurt
p. 669-677

Acknowledgements
Baake, Michael ; Bugeaud, Yann ; Coons, Michael
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