Local zeta-function

Known as: Local, Local zeta function, Riemann hypothesis for curves over finite fields

Suppose that V is a non-singular n-dimensional projective algebraic variety over the field Fq with q elements. In number theory, the local zeta…

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.

2018

Let $K$ be a local field and $f(x)\in K[x]$ be a non-constant polynomial. The local zeta function $Z_f(s, \chi)$ was first…

2017

Consider the set $\mathcal{K}$ of integers $k$ for which there are infinitely many primes $p$ such that $p+k$ is a power of $2…

2015

A new method is devised for calculating the Igusa local zeta function Zf of a polynomial f(x1, . . . , xn) over a p-adic field…

2015

Let $F$ be a finite field of odd cardinality $q$, $A=F[T]$ the polynomial ring over $F$, $k=F(T)$ the rational function field…

2012

This paper provides specific results on the Igusa local zeta function for the curves $x^n+y^m$. In addition to specific results…

2008

This paper gives a formula for Weil’s Exponential Sums which depends entirely upon the singularities mod , similar to the purpose…

2005

In this short note we compute for the polynomial $x^q -a$, $a\in K((\pi))$, its Igusa local zeta function and the corresponding…

2002

To a polynomial f over a non-archimedean local field K and a character χ of the group of units of the valuation ring of K one…

2002

To a polynomial f over a non-archimedean local field K and a character χ of the group of units of the valuation ring of K one…

1994

We show the possibility of explicit calculation of the Fourier transforms of complex powers of relative invariants of some…