Arithmetic zeta function - Open Access .click

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, 2014
Inspired by the invariant of a number field given by its zeta function, we define the notion of {\it weak arithmetic equivalence}, and show that under certain ramification hypothesis, this equivalence determines the local root numbers of the number field.
Mantilla-Soler, Guillermo
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Archimedean cohomology revisited [PDF]

, 2004
Archimedean cohomology provides a cohomological interpretation for the calculation of the local L-factors at archimedean places as zeta regularized determinant of a log of Frobenius.
Consani, Caterina, Marcolli, Matilde
core +2 more sources

Two-point correlation function for Dirichlet L-functions

, 2013
The two-point correlation function for the zeros of Dirichlet L-functions at a height E on the critical line is calculated heuristically using a generalization of the Hardy-Littlewood conjecture for pairs of primes in arithmetic progression.
Bogomolny, E., Keating, J. P.
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Zeta functions over zeros of general zeta and $L$-functions

, 2003
We describe in detail three distinct families of generalized zeta functions built over the (nontrivial) zeros of a rather general arithmetic zeta or L-function, extending the scope of two earlier works that treated the Riemann zeros only.
Voros, A.
core +1 more source

On the number of n-dimensional representations of SU(3), the Bernoulli numbers, and the Witten zeta function

, 2015
We derive new results about properties of the Witten zeta function associated with the group SU(3), and use them to prove an asymptotic formula for the number of n-dimensional representations of SU(3) counted up to equivalence.
Romik, Dan
core

Dynamical, Spectral, and Arithmetic Zeta Functions [PDF]