AbstractWe study algebraic generalized zeta functions of formal power series. We show that the generalized zeta function of a rational series is an algebraic function if and only if it is a root of a rational function. We show that it is decidable whether or not the generalized zeta function of a Q-rational series is an algebraic function
AbstractSequences of numbers abound in combinatorics the generating functions of which are algebraic...
We prove that the partial zeta function introduced in [9] is a rational function, generalizing Dwork...
AbstractGeneralizing a well known trace formula from linear algebra, we define a generalized determi...
AbstractWe study generalized zeta functions of formal languages and series. We give necessary condit...
AbstractWe study generalized zeta functions of formal languages and series. We give necessary condit...
An attempt is made here to introduce and study a pair of double power series associated with the gen...
Motivated by arithmetic applications, we introduce the notion of a partial zeta function which gener...
AbstractMotivated by arithmetic applications, we introduce the notion of a partial zeta function whi...
Summary. In this paper we define the algebra of formal power series and the algebra of polynomials o...
Let K be a finite field, K(x) be the field of rational functions in x over K and K be the field of f...
International audience$G$-functions are power series in $\Qbar[[z]]$ solutions of linear differentia...
Abstract: In this preprint we study some properties of generalized power series that are f...
AbstractSequences of numbers abound in combinatorics the generating functions of which are algebraic...
Following and generalizing a construction by Kontsevich, we associate a zeta function to any matrix ...
AbstractWe prove that the partial zeta function introduced in [9] is a rational function, generalizi...
AbstractSequences of numbers abound in combinatorics the generating functions of which are algebraic...
We prove that the partial zeta function introduced in [9] is a rational function, generalizing Dwork...
AbstractGeneralizing a well known trace formula from linear algebra, we define a generalized determi...
AbstractWe study generalized zeta functions of formal languages and series. We give necessary condit...
AbstractWe study generalized zeta functions of formal languages and series. We give necessary condit...
An attempt is made here to introduce and study a pair of double power series associated with the gen...
Motivated by arithmetic applications, we introduce the notion of a partial zeta function which gener...
AbstractMotivated by arithmetic applications, we introduce the notion of a partial zeta function whi...
Summary. In this paper we define the algebra of formal power series and the algebra of polynomials o...
Let K be a finite field, K(x) be the field of rational functions in x over K and K be the field of f...
International audience$G$-functions are power series in $\Qbar[[z]]$ solutions of linear differentia...
Abstract: In this preprint we study some properties of generalized power series that are f...
AbstractSequences of numbers abound in combinatorics the generating functions of which are algebraic...
Following and generalizing a construction by Kontsevich, we associate a zeta function to any matrix ...
AbstractWe prove that the partial zeta function introduced in [9] is a rational function, generalizi...
AbstractSequences of numbers abound in combinatorics the generating functions of which are algebraic...
We prove that the partial zeta function introduced in [9] is a rational function, generalizing Dwork...
AbstractGeneralizing a well known trace formula from linear algebra, we define a generalized determi...
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