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» The Zeta Function of a Hypergraph
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FFA
2011
104views more  FFA 2011»
12 years 12 months ago
Zeta functions of equivalence relations over finite fields
ABSTRACT. We prove the rationality of the generating function associated to the number of equivalence classes of Fqk -points of a constructible equivalence relation defined over t...
Tibor Beke
ANTS
2000
Springer
92views Algorithms» more  ANTS 2000»
13 years 9 months ago
Computing Special Values of Partial Zeta Functions
We discuss computation of the special values of partial zeta functions associated to totally real number fields. The main tool is the Eisenstein cocycle Ψ, a group cocycle for GL...
Gautam Chinta, Paul E. Gunnells, Robert Sczech
MOC
2002
60views more  MOC 2002»
13 years 4 months ago
The Igusa local zeta functions of elliptic curves
Abstract. We determine the explicit form of the Igusa local zeta function associated to an elliptic curve. The denominator is known to be trivial. Here we determine the possible nu...
Diane Meuser, Margaret Robinson
ISSAC
1997
Springer
129views Mathematics» more  ISSAC 1997»
13 years 9 months ago
A Class of Logarithmic Integrals
A class of de nite integrals involving cyclotomicpolynomials and nested logarithms is considered. The results are given in terms of derivatives of the Hurwitz Zeta function. Some s...
Victor Adamchik
MOC
2011
12 years 7 months ago
Improvements to Turing's method
Abstract. This article improves the estimate of the size of the definite integral of S(t), the argument of the Riemann zeta-function. The primary application of this improvement i...
Timothy Trudgian