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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… 
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Related topics

Related topics

2 relations
Genus (mathematics)Weil conjectures

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
The Igusa local zeta functions of superelliptic curves.
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
2017
On prime numbers of the form $2^n \pm k$
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… 
2016
2016
Igusa's Local Zeta Functions and Exponential Sums for Arithmetically Non Degenerate Polynomials
We study the twisted local zeta function associated to a polynomial in two variables with coefficients in a non-Archimedean local… 
2015
2015
A Simple Proof of the Mean Value of $\left|K_{2}(\mathcal{O})\right|$ in Function Fields
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
2012
The Igusa local zeta function for $x^n+y^m$
This paper provides specific results on the Igusa local zeta function for the curves $x^n+y^m$. In addition to specific results… 
Review
2010
Review
2010
Local $\zeta$-functions, stress-energy tensor, field fluctuations, and all that, in curved static spacetime
This is a quick review on some technology concerning the local zeta function applied to Quantum Field Theory in curved static… 
2005
2005
Local zeta function for nondegenerate homogeneous mappings
We give an explicit description of the poles of the Igusa local zeta function associated to a polynomial mapping g, in the case… 
2005
2005
The Igusa local zeta function for $x^q -a$
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
2002
ec 2 00 2 LOCAL ZETA FUNCTIONS AND NEWTON POLYHEDRA
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
1994
Arithmetic calculus of Fourier transforms by Igusa local zeta functions
We show the possibility of explicit calculation of the Fourier transforms of complex powers of relative invariants of some… 
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