𝔖 Bobbio Scriptorium
✦   LIBER   ✦

N-Rationality of Zeta Functions

✍ Scribed by Christophe Reutenauer

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
187 KB
Volume
18
Category
Article
ISSN
0196-8858

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Zeta Functions of Graph Coverings
Zeta Functions of Graph Coverings
✍ Hirobumi Mizuno; Iwao Sato πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 123 KB

We give a decomposition formula for the zeta function of a group covering of a graph.

Arithmetical identities and zeta-functio
Arithmetical identities and zeta-functions
✍ Shigeru Kanemitsu; Jing Ma; Yoshio Tanigawa πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 128 KB

## Abstract In this paper we establish a class of arithmetical Fourier series as a manifestation of the intermediate modular relation, which is equivalent to the functional equation of the relevant zeta‐functions. One of the examples is the one given by Riemann as an example of a continuous non‐dif

On Zeta Functions of Arithmetically Defi
On Zeta Functions of Arithmetically Defined Graphs
✍ Ortwin Scheja πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 262 KB

We study the graph X(n) that is de"ned as the "nite part of the quotient (n)!T, with T the Bruhat}Tits tree over % O ((1/ΒΉ )) and (n) the principal congruence subgroup of "GΒΈ(% We give concrete realizations of the ΒΈ-functions of the "nite part of the hal#ine !T for "nite unitary representations of

Selberg Zeta Functions over Function Fie
Selberg Zeta Functions over Function Fields
✍ Hirofumi Nagoshi πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 236 KB

We compute explicitly the Selberg trace formula for principal congruence subgroups of PGL(2, F q [t]) which is the modular group in positive characteristic cases. We also express the Selberg zeta function as a determinant of the Laplacian which is composed of both discrete and continuous spectra. Al