Hierarchy of the Selberg zeta functions
Hashimoto, Yasufumi ; Wakayama, Masato
arXiv, 0501047 / Harvested from arXiv
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/