AbstractWe extend a result of J.-P. Allouche and O. Salon on linear independence of formal power series associated to polynomial extractions of quasistrongly p-additive sequences. The original result was on the Fp-linear independence and we extend it to the Fp[X]-linear independence
In the frame of Mahler's method for algebraic independence we show that the algebraic relations over...
AbstractCarlitz defined both a function ζ and a formal power series Π over Fq, analogous to the Riem...
A formal power series \u3c6 with a real cut point \u3bb defines the language L_{\u3c6,\u3bb} = {\u3c...
Abstract: A criterion for linear independence, similar to that established in 2002 by Hančl in the ...
The paper deals with the so-called linearly unrelated se-quences. The criterion and the application ...
Summary. In this paper we define the algebra of formal power series and the algebra of polynomials o...
Let {a_{1}(n)}_{n>1} be a purely periodic sequence of nonnegative integers, not identically zero, an...
In this note we investigate arithmetic properties of values of the Tschakaloff function Tq(z) = Σ<su...
AbstractChristol et al. (1980) proved that, for any prime p, a sequence x=(x1, x2,…,) over the set {...
For a certain class of power series, infinite products, and Lambert type series, we establish a nece...
AbstractWe show that each formal power series in noncommuting variables may be obtained by an infini...
International audienceWe call shifted power a polynomial of the form $(x-a)^e$. The main goal of thi...
We deepen here the insight on formal power series. We temporarily abandon formality and consider the...
AbstractThe main theorem of this paper, proved using Mahler's method, gives a necessary and sufficie...
We obtain a necessary and sufficient condition for the linear independence of solutions of different...
In the frame of Mahler's method for algebraic independence we show that the algebraic relations over...
AbstractCarlitz defined both a function ζ and a formal power series Π over Fq, analogous to the Riem...
A formal power series \u3c6 with a real cut point \u3bb defines the language L_{\u3c6,\u3bb} = {\u3c...
Abstract: A criterion for linear independence, similar to that established in 2002 by Hančl in the ...
The paper deals with the so-called linearly unrelated se-quences. The criterion and the application ...
Summary. In this paper we define the algebra of formal power series and the algebra of polynomials o...
Let {a_{1}(n)}_{n>1} be a purely periodic sequence of nonnegative integers, not identically zero, an...
In this note we investigate arithmetic properties of values of the Tschakaloff function Tq(z) = Σ<su...
AbstractChristol et al. (1980) proved that, for any prime p, a sequence x=(x1, x2,…,) over the set {...
For a certain class of power series, infinite products, and Lambert type series, we establish a nece...
AbstractWe show that each formal power series in noncommuting variables may be obtained by an infini...
International audienceWe call shifted power a polynomial of the form $(x-a)^e$. The main goal of thi...
We deepen here the insight on formal power series. We temporarily abandon formality and consider the...
AbstractThe main theorem of this paper, proved using Mahler's method, gives a necessary and sufficie...
We obtain a necessary and sufficient condition for the linear independence of solutions of different...
In the frame of Mahler's method for algebraic independence we show that the algebraic relations over...
AbstractCarlitz defined both a function ζ and a formal power series Π over Fq, analogous to the Riem...
A formal power series \u3c6 with a real cut point \u3bb defines the language L_{\u3c6,\u3bb} = {\u3c...
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