Minoration de combinaisons linéaires de deux logarithmes -adiques
Minorations de combinaisons linéaires de logarithmes p-adiques de nombres algébriques [Book]
Multiplicity estimate for solutions of extended Ramanujan’s system
We establish a new multiplicity lemma for solutions of a differential system extending Ramanujan’s classical differential relations. This result can be useful in the study of arithmetic properties of values of Riemann zeta function at odd positive integers (Nesterenko, 2011).
On a mixed Littlewood conjecture for quadratic numbers
We study a simultaneous diophantine problem related to Littlewood’s conjecture. Using known estimates for linear forms in -adic logarithms, we prove that a previous result, concerning the particular case of quadratic numbers, is close to be the best possible.
On a mixed Littlewood conjecture in Diophantine approximation
On a mixed problem in Diophantine approximation
On continued fractions and diophantine approximation in power series fields
On irrationality measures of the values of Gauss hypergeometric function.
On metric Diophantine approximation in positive characteristic
On products of special linear forms with algebraic coefficients
On the approximation of certain infinite products.
On the linear independence of the values of Gauss hypergeometric function
On the values of a class of analytic functions at algebraic points
Ordre de transcendance sur
-adic variant of the convergence Khintchine theorem for curves over
p-adic logarithmic forms and group varieties II
p-adic polylogarithms and irrationality
p-adic T-numbers do exist
Problèmes de transcendance p-adique.
Quartic power series in with bounded partial quotients