Results 51 to 60 of about 17,792 (168)

Generalized Twin Prime Formulas

, 2010
Based on Golomb's arithmetic formulas, Dirichlet series for two classes of twin primes are constructed and related to the roots of the Riemann zeta function in the critical strip.Comment: 17 pages, no ...
Weber, H. J.
core   +1 more source

Representation growth and representation zeta functions of groups [PDF]

, 2012
We give a short introduction to the subject of representation growth and representation zeta functions of groups, omitting all proofs. Our focus is on results which are relevant to the study of arithmetic groups in semisimple algebraic groups, such as ...
Klopsch, Benjamin
core   +3 more sources

The Mean Square of the Hurwitz Zeta-Function in Short Intervals

Axioms
The Hurwitz zeta-function ζ(s,α), s=σ+it, with parameter ...
Antanas Laurinčikas, Darius Šiaučiūnas   +1 more
doaj   +1 more source

Motivic Serre invariants, ramification, and the analytic Milnor fiber

, 2007
We show how formal and rigid geometry can be used in the theory of complex singularities, and in particular in the study of the Milnor fibration and the motivic zeta function.
A. Bravo, A. Grothendieck, A. Grothendieck, A. Grothendieck, A.J. Jong de, B. Conrad, B. Rodrigues, D. Eisenbud, F. Loeser, G. Guibert, G. Kempf, J. Denef, J. Denef, J. Igusa, J. Milnor, J. Nicaise, J. Sebag, Johannes Nicaise, Julien Sebag, L. Illusie, N. A’Campo, N. A’Campo, P. Deligne, S. Bosch, S. Bosch, S. Bosch, S. Bosch, V. Kulikov, V.G. Berkovich, V.G. Berkovich   +29 more
core   +2 more sources

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

Weak arithmetic equivalence

, 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
core   +1 more source

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.
core   +1 more source

A note on the dynamical zeta function of general toral endomorphisms

, 2009
It is well-known that the Artin-Mazur dynamical zeta function of a hyperbolic or quasi-hyperbolic toral automorphism is a rational function, which can be calculated in terms of the eigenvalues of the corresponding integer matrix.
Baake, Michael, Lau, Eike, Paskunas, Vytautas   +2 more
core   +3 more sources

VALUES OF ZETA FUNCTIONS OF ARITHMETIC SURFACES AT [PDF]

, 2022
Stephen Lichtenbaum, Niranjan Ramachandran   +1 more
openalex   +1 more source

Difference independence of the Riemann zeta function

, 2006
It is proved that the Riemann zeta function does not satisfy any nontrivial algebraic difference equation whose coefficients are meromorphic functions $\phi$ with Nevanlinna characteristic satisfying $T(r, \phi)=o(r)$ as $r\to \infty$Comment: To appear ...
Chiang, Yik-Man, Feng, Shaoji
core   +3 more sources