Add to ORKGAbstract. The zeta function of a nonsingular pair of quadratic forms defined over a finite field, k, of arbitrary characteristic is calculated. A. Weil made this computation when char k = 2. When the pair has even order, a relationship between the number of zeros of the pair and the number of places of degree one in an appropriate hyperelliptic function field is established.
AbstractWe describe a method which may be used to compute the zeta function of an arbitrary Artin-Sc...
Recently in [4], we have investigated several zeta functions associated to finite groups and introdu...
Motivated by arithmetic applications, we introduce the notion of a partial zeta function which gener...
This work is a review of the congruent zeta function and the Weil conjectures for non-singular curv...
Let Q(u<SUB>1</SUB>,…,u<SUB>1</SUB>)=Σd<SUB>ij</SUB>u<SUB>i</SUB>u<SUB>j</SUB> (i,j=1 to l) be a pos...
The gonality sequence of a plane curve is computed. A two variable zeta function for curves over a f...
The gonality sequence of a plane curve is computed. A two variable zeta function for curves over a f...
AbstractWe present Bombieri's proof of the Riemann hypothesis for the zeta function of a curve over ...
Thesis (Ph. D.)--University of Rochester. Dept. of Mathematics, 2016.Zeta functions of varieties ove...
1.1. The Hasse-Weil zeta function 1 1.2. The zeta function of an arithmetic variety
AbstractIn this paper, we study the zeta function, named non-abelian zeta function, defined by Lin W...
We introduce a new algorithm to compute the zeta function of a curve over a finite field. This metho...
In this thesis the zeta functions in analytic number theory are stud-ied. The distribution of primes...
AbstractWe show that if the derivative of the Riemann zeta function has sufficiently many zeros clos...
In this thesis the zeta functions in analytic number theory are stud-ied. The distribution of primes...
AbstractWe describe a method which may be used to compute the zeta function of an arbitrary Artin-Sc...
Recently in [4], we have investigated several zeta functions associated to finite groups and introdu...
Motivated by arithmetic applications, we introduce the notion of a partial zeta function which gener...
This work is a review of the congruent zeta function and the Weil conjectures for non-singular curv...
Let Q(u<SUB>1</SUB>,…,u<SUB>1</SUB>)=Σd<SUB>ij</SUB>u<SUB>i</SUB>u<SUB>j</SUB> (i,j=1 to l) be a pos...
The gonality sequence of a plane curve is computed. A two variable zeta function for curves over a f...
The gonality sequence of a plane curve is computed. A two variable zeta function for curves over a f...
AbstractWe present Bombieri's proof of the Riemann hypothesis for the zeta function of a curve over ...
Thesis (Ph. D.)--University of Rochester. Dept. of Mathematics, 2016.Zeta functions of varieties ove...
1.1. The Hasse-Weil zeta function 1 1.2. The zeta function of an arithmetic variety
AbstractIn this paper, we study the zeta function, named non-abelian zeta function, defined by Lin W...
We introduce a new algorithm to compute the zeta function of a curve over a finite field. This metho...
In this thesis the zeta functions in analytic number theory are stud-ied. The distribution of primes...
AbstractWe show that if the derivative of the Riemann zeta function has sufficiently many zeros clos...
In this thesis the zeta functions in analytic number theory are stud-ied. The distribution of primes...
AbstractWe describe a method which may be used to compute the zeta function of an arbitrary Artin-Sc...
Recently in [4], we have investigated several zeta functions associated to finite groups and introdu...
Motivated by arithmetic applications, we introduce the notion of a partial zeta function which gener...