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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.
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
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… 
2003
2003
Local zeta functions and Newton polyhedra
Abstract 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… 
2003
2003
On the Poles of Igusa's Local Zeta Function for Algebraic Sets
Let K be a p‐adic field, let ZΦ (s, f), s⊆C, with Re(s) > 0, be the Igusa local zeta function associated to f(x) = (f1(x), …, fl… 
Highly Cited
2001
Highly Cited
2001
Newton polyhedra and Igusa's local zeta function
Abstract We give a very explicit formula for Igusa's local zeta function Zf(s) associated to a polynomial f in several variables… 
1995
1995
A Counterexample in the Theory of Local Zeta Functions
The generalized Igusa local zeta function Z Q p (s) associated to (SL7, ρ), where ρ is the Cartan product of the first, third and… 
Highly Cited
1993
Highly Cited
1993
Poles of Igusa's local zeta function and monodromy
qui est meromorphe sur C. La conjecture de monodromie associe des valeurs propres de la monodromie (complexe) de l’hypersurface f… 
Highly Cited
1991
Highly Cited
1991
Report on Igusa's local zeta function
Highly Cited
1986
Highly Cited
1986
Weierstrass Points and Curves Over Finite Fields
For any projective embedding of a non-singular irreducible complete algebraic curve defined over a finite field, we obtain an… 
1985
1985
Poles of a local zeta function and Newton polygons
© Foundation Compositio Mathematica, 1985, tous droits réservés. L’accès aux archives de la revue « Compositio Mathematica… 
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