We introduce a Selberg type zeta function of two variables which interpolates
several higher Selberg zeta functions. The analytic continuation, the
functional equation and the determinant expression of this function via the
Laplacian on a Riemann surface are obtained.
Publié le : 2005-01-18
Classification:
Mathematical Physics,
Mathematics - Number Theory,
11M36(primary), 33B15(secondary)
@article{0501047,
author = {Hashimoto, Yasufumi and Wakayama, Masato},
title = {Hierarchy of the Selberg zeta functions},
journal = {arXiv},
volume = {2005},
number = {0},
year = {2005},
language = {en},
url = {http://dml.mathdoc.fr/item/0501047}
}
Hashimoto, Yasufumi; Wakayama, Masato. Hierarchy of the Selberg zeta functions. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0501047/