Simultaneous approximation of zero by values of integral polynomials with respect to different valuations
Simultaneous approximation to a real number and to its cube by rational numbers
Simultaneous Approximation to Algebraic Numbers by Elements of a Number Field.
Simultaneous approximations of algebraic numbers
Simultaneous Diophantine approximation and asymptotic formulae on manifolds
Simultaneous diophantine approximation and IP-sets
Simultaneous Diophantine approximation and VIP systems
Simultaneous Diophantine Approximation for Algebraic Functions in Positive Characteristic.
Simultaneous diophantine approximation of rational numbers
Simultaneous diophantine approximation with square-free numbers
Simultaneous generation of Koecher and Almkvist-Granville's Apéry-like formulae.
Simultaneous inhomogeneous Diophantine approximation of the values of integral polynomials with respect to Archimedean and non-Archimedean valuations
We prove an analogue of the convergence part of Khintchine’s theorem for the simultaneous inhomogeneous Diophantine approximation on the Veronese curve with respect to the different valuations. It is an extension of the author’s earlier results.
Simultaneous Pell equations
Six lonely runners.
Slowly growing sequences and discrepancy modulo one
Small solutions of quadratic congruences and small fractional parts of quadratic forms
Small value estimates for the multiplicative group
Small values of n2 ... (mod 1).
Small values of the quadratic part of the Néron-Tate height on an abelian variety
Solutions entières de l’équation
Soit un corps de nombres. Dans ce travail nous calculons des majorants effectifs pour la taille des solutions en entiers algébriques de des équations, , où a au moins trois racines d’ordre impair, et où et a au moins deux racines d’ordre premier à . On améliore ainsi les estimations connues ([2],[9]) pour les solutions de ces équations en entiers algébriques de .