AbstractAfter a brief review in the first section of the definitions and basic properties of the Riemann and Goss zeta functions, we begin in Section 2 the analysis of the generalized Goss zeta function by examining its stabilization properties. An idea in this section gives rise to the new concept of a stabilized ζ-polynomial, which is the main result of this paper. In Section 3, we give the general form of such polynomials for a certain equivalence class in the domain space
AbstractLetXbe a complete singular algebraic curve defined over a finite field ofqelements. To each ...
We give a definition of generalized hypergeometric functions over finite fields using modified Gauss...
AbstractWe study the sum of integral powers of monic polynomials of a given degree over a finite fie...
AbstractAfter a brief review in the first section of the definitions and basic properties of the Rie...
In this dissertation we deal with the distribution of zeros of special values of Goss zeta functions...
In this short note, we give a proof of the Riemann hypothesis for Goss v-adic zeta function ζv(s), w...
AbstractA theorem of Tate and Turner says that global function fields have the same zeta function if...
Let K be the function field of an irreducible, smooth projective curve X defined over Fq. Let [lemni...
This thesis is an exposition of the Riemann zeta function. Included are techniques of  analytic co...
International audienceWe review generalized zeta functions built over the Riemann zeros (in short: "...
International audienceWe review generalized zeta functions built over the Riemann zeros (in short: "...
AbstractA theorem of Tate and Turner says that global function fields have the same zeta function if...
A theorem of Tate and Turner says that global function fields have the same zeta function if and onl...
A theorem of Tate and Turner says that global function fields have the same zeta function if and onl...
The purpose of this paper is to derive the Hasse-Weil zeta function of a special class of Algebraic ...
AbstractLetXbe a complete singular algebraic curve defined over a finite field ofqelements. To each ...
We give a definition of generalized hypergeometric functions over finite fields using modified Gauss...
AbstractWe study the sum of integral powers of monic polynomials of a given degree over a finite fie...
AbstractAfter a brief review in the first section of the definitions and basic properties of the Rie...
In this dissertation we deal with the distribution of zeros of special values of Goss zeta functions...
In this short note, we give a proof of the Riemann hypothesis for Goss v-adic zeta function ζv(s), w...
AbstractA theorem of Tate and Turner says that global function fields have the same zeta function if...
Let K be the function field of an irreducible, smooth projective curve X defined over Fq. Let [lemni...
This thesis is an exposition of the Riemann zeta function. Included are techniques of  analytic co...
International audienceWe review generalized zeta functions built over the Riemann zeros (in short: "...
International audienceWe review generalized zeta functions built over the Riemann zeros (in short: "...
AbstractA theorem of Tate and Turner says that global function fields have the same zeta function if...
A theorem of Tate and Turner says that global function fields have the same zeta function if and onl...
A theorem of Tate and Turner says that global function fields have the same zeta function if and onl...
The purpose of this paper is to derive the Hasse-Weil zeta function of a special class of Algebraic ...
AbstractLetXbe a complete singular algebraic curve defined over a finite field ofqelements. To each ...
We give a definition of generalized hypergeometric functions over finite fields using modified Gauss...
AbstractWe study the sum of integral powers of monic polynomials of a given degree over a finite fie...
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