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Documenta mathematica
Tome Mahler Selecta (2019)
Précédent
Suivant
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