On two notions of complexity of algebraic numbers
Perfect powers in products of integers from a block of consecutive integers
Perfect powers in products of integers from a block of consecutive integers (II)
Quelques remarques sur la théorie de Roth
Quelques remarques sur l'approximation rationnelle des nombres algébriques.
Rational approximations to and other algebraic numbers revisited
In this paper, we establish improved effective irrationality measures for certain numbers of the form , using approximations obtained from hypergeometric functions. These results are very close to the best possible using this method. We are able to obtain these results by determining very precise arithmetic information about the denominators of the coefficients of these hypergeometric functions.Improved bounds for the Chebyshev functions in arithmetic progressions and for are also presented....
Representations of integers by binary forms and the rank of the Mordell-Weil group.
Simultaneous Approximation to Algebraic Numbers by Elements of a Number Field.
Simultaneous approximations of algebraic numbers
Some Diophantine approximation results concerning linear recurrences
Some remarks on the Approximation of Complex Numbers by Algebraic Numbers
Suites partiellement récurrentes. Ensembles partiels d'entiers
Sull'approssimabilità di un numero algebrico mediante numeri algebrici di un corpo assegnato.
Sull'approssimazione di numeri algebrici mediante numeri algebrici.
S-unit points on analytic hypersurfaces
Sur le théorème de Thue-Siegel-Gel'fond-Dyson
Sur l'extraction d'une racine d'un nombre
The algebraic groups leading to the Roth inequalities
We determine the algebraic groups which have a close relation to the Roth inequalities.
The D(1)-extensions of D(-1)-triples 1,2,c and integer points on the attached elliptic curves
The number of subspaces occurring in the p-adic subspace theorem in diophantine approximation.