AbstractWe consider the values at proper fractions of the arithmetic gamma function and the values at positive integers of the zeta function for Fq[θ] and provide complete algebraic independence results for them
International audienceZeta values in Tate algebras were introduced by Pellarin in 2012. They are gen...
Abstract. We introduce a family of L-series specialising to both L-series associated to certain Diri...
In this note we investigate arithmetic properties of values of the Tschakaloff function Tq(z) = Σ<su...
AbstractWe consider the values at proper fractions of the arithmetic gamma function and the values a...
The aim of this note is to give short and almost elementary proofs of two theorems, by Papanikolas a...
AbstractAs an analogue to special values at positive integers of the Riemann zeta function, we consi...
[[abstract]]As an analogue to special values at positive integers of the Riemann zeta function, we c...
Abstract. We prove new results concerning the arithmetic nature values of the Gamma function Γ at al...
Abstract. We explain work on the arithmetic of Gamma and Zeta values for function fields. We will ex...
This paper gives conditions for algebraic independence of a collection of functions satisfying a cer...
For any Q-linearly independent complex numbers α1,...,αn, there are at least n numbers among α1,...,...
Kyushu University 21st Century COE Program Development of Dynamic Mathematics with High Functionalit...
AbstractLet ψ(x) denote the digamma function. We study the linear independence of ψ(x) at rational a...
International audienceIn this paper, the algebraic independence of values of the functionG d (z) := ...
The paper deals with a generalization of Rivoal's construction, which enables one to construct...
International audienceZeta values in Tate algebras were introduced by Pellarin in 2012. They are gen...
Abstract. We introduce a family of L-series specialising to both L-series associated to certain Diri...
In this note we investigate arithmetic properties of values of the Tschakaloff function Tq(z) = Σ<su...
AbstractWe consider the values at proper fractions of the arithmetic gamma function and the values a...
The aim of this note is to give short and almost elementary proofs of two theorems, by Papanikolas a...
AbstractAs an analogue to special values at positive integers of the Riemann zeta function, we consi...
[[abstract]]As an analogue to special values at positive integers of the Riemann zeta function, we c...
Abstract. We prove new results concerning the arithmetic nature values of the Gamma function Γ at al...
Abstract. We explain work on the arithmetic of Gamma and Zeta values for function fields. We will ex...
This paper gives conditions for algebraic independence of a collection of functions satisfying a cer...
For any Q-linearly independent complex numbers α1,...,αn, there are at least n numbers among α1,...,...
Kyushu University 21st Century COE Program Development of Dynamic Mathematics with High Functionalit...
AbstractLet ψ(x) denote the digamma function. We study the linear independence of ψ(x) at rational a...
International audienceIn this paper, the algebraic independence of values of the functionG d (z) := ...
The paper deals with a generalization of Rivoal's construction, which enables one to construct...
International audienceZeta values in Tate algebras were introduced by Pellarin in 2012. They are gen...
Abstract. We introduce a family of L-series specialising to both L-series associated to certain Diri...
In this note we investigate arithmetic properties of values of the Tschakaloff function Tq(z) = Σ<su...
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