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...
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...
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...
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...
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...