# 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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## Papers overview

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2008
2008
We study the local zeta functions of an algebraic group G defined over Q together with a faithful Q-rational representation…
2005
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…
2003
2003
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
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
• 2001
• Corpus ID: 123128407
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
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
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
Highly Cited
1986
Highly Cited
1986
• 1986
• Corpus ID: 14932376
For any projective embedding of a non-singular irreducible complete algebraic curve defined over a finite field, we obtain an…
1985
1985
• 1985
• Corpus ID: 59066984
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