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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.
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… 
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… 
2008
2008
Uniformity and Functional Equations for Local Zeta Functions of Q-Split Algebraic Groups
We study the local zeta functions of an algebraic group G defined over Q together with a faithful Q-rational representation… 
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… 
Review
2005
Review
2005
Curves over finite fields with many points: an introduction
The number of points on a curve defined over a finite field is bounded as a function of its genus g. In this introductory article… 
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… 
1997
1997
Zeta Functions for Curves and Log Canonical Models
The topological zeta function and Igusa's local zeta function are respectively a geometrical invariant associated to a complex… 
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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