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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
Mark N. Berman
2008
Corpus ID: 14837032
We study the local zeta functions of an algebraic group G defined over Q together with a faithful Q-rational representation…
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2005
2005
The Igusa local zeta function for $x^q -a$
J. Vega
2005
Corpus ID: 115465095
In this short note we compute for the polynomial $x^q -a$, $a\in K((\pi))$, its Igusa local zeta function and the corresponding…
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2003
2003
Local zeta functions and Newton polyhedra
W. A. Zúñiga-Galindo
Nagoya Mathematical Journal
2003
Corpus ID: 115132422
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…
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2003
2003
On the Poles of Igusa's Local Zeta Function for Algebraic Sets
W. A. Zúñiga-Galindo
2003
Corpus ID: 2297718
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…
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Highly Cited
2001
Highly Cited
2001
Newton polyhedra and Igusa's local zeta function
J. Denef
,
Kathleen Hoornaert
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…
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1995
1995
A Counterexample in the Theory of Local Zeta Functions
R. Martin
Exp. Math.
1995
Corpus ID: 14913287
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…
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Highly Cited
1993
Highly Cited
1993
Poles of Igusa's local zeta function and monodromy
W. Veys
1993
Corpus ID: 119817281
qui est meromorphe sur C. La conjecture de monodromie associe des valeurs propres de la monodromie (complexe) de l’hypersurface f…
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Highly Cited
1991
Highly Cited
1991
Report on Igusa's local zeta function
J. Denef
1991
Corpus ID: 125502268
Highly Cited
1986
Highly Cited
1986
Weierstrass Points and Curves Over Finite Fields
Karl-Otto Stöhr
,
J. Voloch
1986
Corpus ID: 14932376
For any projective embedding of a non-singular irreducible complete algebraic curve defined over a finite field, we obtain an…
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1985
1985
Poles of a local zeta function and Newton polygons
B. Lichtin
,
Diane Meuser
1985
Corpus ID: 59066984
© Foundation Compositio Mathematica, 1985, tous droits réservés. L’accès aux archives de la revue « Compositio Mathematica…
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