Add to ORKGWe give an upper bound for the zero order of the difference between a Mahler function and an algebraic function. This complements estimates of Nesterenko, Nishioka, and Topfer, among others, who considered polynomials evaluated at Mahler functions
We give a simple inequality relating the elliptic Mahler measure of a polynomial to the traditional ...
In this paper, explicit auxiliary functions are used to get upper and lower bounds for the Mahler me...
In this paper, we deal with the modified deficiencies of q-difference equations and give some improv...
Zero order estimates for functions satisfying generalized functional equations of Mahler type by Tho...
International audienceIn the last years, a number of authors have studied the algebraic relations be...
Graduation date: 2009If P is an integer polynomial denote the degree of P by ∂(P) and let H(P) be th...
97 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1983.The Skolem-Mahler-Lech theorem...
We propose a new zero determination principle for an algebraic number α obtained after performing ri...
International audienceIn 1990, Ku. Nishioka proved a fundamental theorem for Mahler's method, which ...
This thesis is part of Number Theory. It deals with transcendence and algebraic independence of valu...
In this paper, we investigate the performance of zero bounds due to Kalantari and Dehmer by using sp...
We provide a general result for the algebraic independence of Mahler functions by a new method based...
International audienceLet K be a function field of characteristic p > 0. We recently established the...
In this thesis, we investigate topics belonging to number theory, and especially to transcendental n...
In the paper, we estimate the uniform norm of a function defined on the real line and having zero in...
We give a simple inequality relating the elliptic Mahler measure of a polynomial to the traditional ...
In this paper, explicit auxiliary functions are used to get upper and lower bounds for the Mahler me...
In this paper, we deal with the modified deficiencies of q-difference equations and give some improv...
Zero order estimates for functions satisfying generalized functional equations of Mahler type by Tho...
International audienceIn the last years, a number of authors have studied the algebraic relations be...
Graduation date: 2009If P is an integer polynomial denote the degree of P by ∂(P) and let H(P) be th...
97 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1983.The Skolem-Mahler-Lech theorem...
We propose a new zero determination principle for an algebraic number α obtained after performing ri...
International audienceIn 1990, Ku. Nishioka proved a fundamental theorem for Mahler's method, which ...
This thesis is part of Number Theory. It deals with transcendence and algebraic independence of valu...
In this paper, we investigate the performance of zero bounds due to Kalantari and Dehmer by using sp...
We provide a general result for the algebraic independence of Mahler functions by a new method based...
International audienceLet K be a function field of characteristic p > 0. We recently established the...
In this thesis, we investigate topics belonging to number theory, and especially to transcendental n...
In the paper, we estimate the uniform norm of a function defined on the real line and having zero in...
We give a simple inequality relating the elliptic Mahler measure of a polynomial to the traditional ...
In this paper, explicit auxiliary functions are used to get upper and lower bounds for the Mahler me...
In this paper, we deal with the modified deficiencies of q-difference equations and give some improv...