Dyson's Lemma for polynomials in several variables (and the Theorem of Roth).
Dyson's lemma for products of two curves of arbitrary genus.
Effective approximation of algebraic numbers, d'après Enrico Bombieri
Effective diophantine approximation on
Effective diophantine approximation on , II
Effective estimates for global relations on Euler-type series
Effective irrationality measures and approximation by algebraic conjugates
Effective measures for algebraic independence of the values of Mahler type functions
Effective measures of irrationality for cubic extensions of number fields
Effective results for linear equations in two unknowns from a multiplicative division group
Effective results for restricted rational approximation to quadratic irrationals
Effective simultaneous approximation of complex numbers by conjugate algebraic integers
We study effectively the simultaneous approximation of n-1 different complex numbers by conjugate algebraic integers of degree n over ℤ(√-1). This is a refinement of a result of Motzkin [2] (see also [3], p. 50) who has no estimate for the remaining conjugate. If the n-1 different complex numbers lie symmetrically about the real axis, then ℤ(√-1) can be replaced by ℤ. In Section 1 we prove an effective version of a Kronecker approximation theorem; we start with an idea of H....
Effective solution of the D(-1)-quadruple conjecture
Ein Approximationsmaß für transzendente Lösungen gewisser transzendenter Gleichungen.
Ein Kriterium für die algebraischen Zahlen
Ein mengentheoretischer Satz über die Gleichverteilung modulo Eins
Ein p-adischer Beweis für die Irrationalität der Nullstellen von Besselfunktionen.
Einbettungen kommutativer algebraischer Gruppen und einige ihrer Eigenschaften.
Eine Anwendung diophantischer Approximationen auf die Theorie von Differentialgleichungen.
Eine arithmetische Eigenschaft der Koeffizienten hypergeometrischer Funktionen mit algebraischen Parametern.