Results 11 to 20 of about 545,098 (196)
Universality theorems of the Selberg zeta functions for arithmetic groups [PDF]
arXiv, 2023 20 ...
Yasufumi Hashimoto
arxiv +5 more sources
Equalities, congruences, and quotients of zeta functions in Arithmetic Mirror Symmetry [PDF]
arXiv, 2005 6 ...
C. Douglas Haessig
arxiv +5 more sources
Zeta Functions on Arithmetic Surfaces [PDF]
arXiv, 2013 We use a form of lifted harmonic analysis to develop a two-dimensional adelic integral representation of the zeta functions of simple arithmetic surfaces. Manipulations of this integral then lead to an adelic interpretation of the so-called mean-periodicity correspondence, which is comparable to the better known automorphicity conjectures for the ...
Thomas Oliver
arxiv +5 more sources
Hasse-Weil zeta functions of SL_2-character varieties of arithmetic two bridge link complements [PDF]
arXiv, 2012 Hasse-Weil zeta functions of SL_2-character varieties of arithmetic two bridge link groups are determined. Special values of the zeta functions at s=0,1,2 are also investigated.
Shinya Harada
arxiv +3 more sources
Arithmetic equivalence for function fields, the Goss zeta function and a generalisation
Journal of Number Theory, 2010 A theorem of Tate and Turner says that global function fields have the same zeta function if and only if the Jacobians of the corresponding curves are isogenous. In this note, we investigate what happens if we replace the usual (characteristic zero) zeta function by the positive characteristic zeta function introduced by Goss.
Cornelissen, G.L.M. +2 more
+9 more sources
On Zeta Functions of Arithmetically Defined Graphs
Finite Fields and Their Applications, 1999 AbstractWe study the graphX(n) that is defined as the finite part of the quotient Γ(n)\T, with T the Bruhat–Tits tree over Fq((1/T)) and Γ(n) the principal congruence subgroup of Γ=GL2(Fq[T]) of leveln∈Fq[T]. We give concrete realizations of theL-functions of the finite part of the halfline Γ\T for finite unitary representations of Γ that factor over Γ(
Ortwin Scheja
openaire +3 more sources
A $q$-series identity and the arithmetic of Hurwitz zeta functions [PDF]
Proceedings of the American Mathematical Society, 2002 Using a single variable theta identity, which is similar to the Jacobi Triple Product identity, we produce the generating functions for values of certain expressions of Hurwitz zeta functions at non-positive integers.
Gwynneth H. Coogan, Ken Ono
openaire +3 more sources
Multiple finite Riemann zeta functions [PDF]
Acta Arith. 116 (2005), 173-187, 2004 Observing a multiple version of the divisor function we introduce a new zeta function which we call a multiple finite Riemann zeta function. We utilize some $q$-series identity for proving the zeta function has an Euler product and then, describe the ...
Kimoto, K. +3 more
core +2 more sources
Arithmetic progressions of zeros of the Riemann zeta function
Journal of Number Theory, 2005 AbstractIf the Riemann zeta function vanishes at each point of the finite arithmetic progression {D+inp ...
Machiel van Frankenhuijsen
openaire +3 more sources
An arithmetical mapping and applications to Ω-results for the Riemann zeta function [PDF]
Acta Arithmetica, 2009 In this paper we study the linear mapping that sends a sequence (an) to (bn) where bn = ∑ d|n d −αan/d. We investigate for which values of α this is a bounded operator from l to l and show the operator norm is closely connected to the Riemann zeta function.
Titus Hilberdink
openaire +3 more sources