Add to ORKGAlgebraic independence of power series generated by linearly independent positive numbers b
Let $(i,j)\in \mathbb{N}\times \mathbb{N}_{\geq2}$ and $S_{i,j}$ be an infinite subset of positive i...
In this note we investigate arithmetic properties of values of the Tschakaloff function Tq(z) = Σ<su...
For any Q-linearly independent complex numbers α1,...,αn, there are at least n numbers among α1,...,...
Algebraic independence of modified reciprocal sums of products of Fibonacci numbers b
In this paper, we give a new criterion for the algebraic independence of the values of power series....
International audienceIn this paper, the algebraic independence of values of the functionG d (z) := ...
Let {a_{1}(n)}_{n>1} be a purely periodic sequence of nonnegative integers, not identically zero, an...
AbstractThe main theorem of this paper, proved using Mahler's method, gives a necessary and sufficie...
AbstractLet q⩾2 be an integer and let w be a block of 0, …, q−1 of finite length. For a nonnegative ...
For a certain class of power series, infinite products, and Lambert type series, we establish a nece...
We discuss certain results related to the linear independence of alternating multiple zeta values in...
AbstractWe extend a result of J.-P. Allouche and O. Salon on linear independence of formal power ser...
Abstract Algebraic independence of values of certain infinite products is proved, where the transcen...
Let sigma(k)(n) denote the sum of the k-th powers of the positive divisors of n. Erdos and Kac conje...
This thesis is concerned with the problem of determining a measure of algebraic independence for a p...
Let $(i,j)\in \mathbb{N}\times \mathbb{N}_{\geq2}$ and $S_{i,j}$ be an infinite subset of positive i...
In this note we investigate arithmetic properties of values of the Tschakaloff function Tq(z) = Σ<su...
For any Q-linearly independent complex numbers α1,...,αn, there are at least n numbers among α1,...,...
Algebraic independence of modified reciprocal sums of products of Fibonacci numbers b
In this paper, we give a new criterion for the algebraic independence of the values of power series....
International audienceIn this paper, the algebraic independence of values of the functionG d (z) := ...
Let {a_{1}(n)}_{n>1} be a purely periodic sequence of nonnegative integers, not identically zero, an...
AbstractThe main theorem of this paper, proved using Mahler's method, gives a necessary and sufficie...
AbstractLet q⩾2 be an integer and let w be a block of 0, …, q−1 of finite length. For a nonnegative ...
For a certain class of power series, infinite products, and Lambert type series, we establish a nece...
We discuss certain results related to the linear independence of alternating multiple zeta values in...
AbstractWe extend a result of J.-P. Allouche and O. Salon on linear independence of formal power ser...
Abstract Algebraic independence of values of certain infinite products is proved, where the transcen...
Let sigma(k)(n) denote the sum of the k-th powers of the positive divisors of n. Erdos and Kac conje...
This thesis is concerned with the problem of determining a measure of algebraic independence for a p...
Let $(i,j)\in \mathbb{N}\times \mathbb{N}_{\geq2}$ and $S_{i,j}$ be an infinite subset of positive i...
In this note we investigate arithmetic properties of values of the Tschakaloff function Tq(z) = Σ<su...
For any Q-linearly independent complex numbers α1,...,αn, there are at least n numbers among α1,...,...
