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Functional equations for Selberg zeta functions with Tate motives.

Authors :
Koyama, Shin-ya
Kurokawa, Nobushige
Source :
Journal of Number Theory. Feb2022, Vol. 231, p451-463. 13p.
Publication Year :
2022

Abstract

For a compact Riemann surface M of genus g ≥ 2 , we study the functional equations of the Selberg zeta functions attached with the Tate motives f. We prove that certain functional equations hold if and only if f has the absolute automorphy. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0022314X
Volume :
231
Database :
Academic Search Index
Journal :
Journal of Number Theory
Publication Type :
Academic Journal
Accession number :
153203721
Full Text :
https://doi.org/10.1016/j.jnt.2021.05.012