Publication date
October 1991
DOI Publisher
Published by Elsevier Inc. ISSN
0022-314XAbstract
AbstractA linear independence measure is obtained for certain values of a p-adic function Σn=0∞qn(n − 1)2zn, where q ∈ Q, 0 < |q|p < 1
AbstractA linear independence measure is obtained for certain values of a p-adic function Σn=0∞qn(n − 1)2zn, where q ∈ Q, 0 < |q|p < 1
AbstractLet σk(n) denote the sum of the k-th powers of the positive divisors of n. Erdős and Kac con...
This thesis is concerned with the problem of determining a measure of algebraic independence for a p...
This Ph.D. thesis lies in the path opened by Apéry who proved the irrationality of ζ(3) andalready f...
In this note we investigate arithmetic properties of values of the Tschakaloff function Tq(z) = Σ<su...
AbstractWe prove Q-linear independence results for the values of the q-seriesTqt(z)=∑ν=0∞q−tν(ν+1)/2...
AbstractLet f(z) = Σk = 0∞ zk!. Then in p-adic field we prove that for any algebraic numbers α1 ,…, ...
The aim of this article is to provide an analogue of the Ball-Rivoal theorem for p-adic L-values of ...
"Algebraic Number Theory and Related Topics 2014". December 1～5, 2014. edited by Takeshi Tsuji, Hiro...
Abstract We estimate the linear independence measures for the values of a class of Mahler functions...
We study a class of functional independences that the Iwasawa power series satisfy for both zero and...
Inspired by Warren Sinnott 's method we prove a linear independence result modulo p for the Iwasawa ...
AbstractThe notion of algebraic dependence in the ring of arithmetic functions with addition and Dir...
Cette thèse s'inscrit dans le prolongement du résultat d'Apéry donnant l'irrationalité de ζ (3) et d...
We prove a weighted analogue of the Khintchine–Groshev theorem, where the distance to the nearest in...
Let sigma(k)(n) denote the sum of the k-th powers of the positive divisors of n. Erdos and Kac conje...
AbstractLet σk(n) denote the sum of the k-th powers of the positive divisors of n. Erdős and Kac con...
This thesis is concerned with the problem of determining a measure of algebraic independence for a p...
This Ph.D. thesis lies in the path opened by Apéry who proved the irrationality of ζ(3) andalready f...
In this note we investigate arithmetic properties of values of the Tschakaloff function Tq(z) = Σ<su...
AbstractWe prove Q-linear independence results for the values of the q-seriesTqt(z)=∑ν=0∞q−tν(ν+1)/2...
AbstractLet f(z) = Σk = 0∞ zk!. Then in p-adic field we prove that for any algebraic numbers α1 ,…, ...
The aim of this article is to provide an analogue of the Ball-Rivoal theorem for p-adic L-values of ...
"Algebraic Number Theory and Related Topics 2014". December 1～5, 2014. edited by Takeshi Tsuji, Hiro...
Abstract We estimate the linear independence measures for the values of a class of Mahler functions...
We study a class of functional independences that the Iwasawa power series satisfy for both zero and...
Inspired by Warren Sinnott 's method we prove a linear independence result modulo p for the Iwasawa ...
AbstractThe notion of algebraic dependence in the ring of arithmetic functions with addition and Dir...
Cette thèse s'inscrit dans le prolongement du résultat d'Apéry donnant l'irrationalité de ζ (3) et d...
We prove a weighted analogue of the Khintchine–Groshev theorem, where the distance to the nearest in...
Let sigma(k)(n) denote the sum of the k-th powers of the positive divisors of n. Erdos and Kac conje...
AbstractLet σk(n) denote the sum of the k-th powers of the positive divisors of n. Erdős and Kac con...
This thesis is concerned with the problem of determining a measure of algebraic independence for a p...
This Ph.D. thesis lies in the path opened by Apéry who proved the irrationality of ζ(3) andalready f...
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