Hierarchy of the Selberg zeta functions

Yasufumi Hashimoto; Masato Wakayama

doi:10.1007/s11005-005-6784-3

Hierarchy of the Selberg zeta functions

Yasufumi Hashimoto, Masato Wakayama

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	59-70
Number of pages	12
Journal	Letters in Mathematical Physics
Volume	73
Issue number	1
DOIs	https://doi.org/10.1007/s11005-005-6784-3
Publication status	Published - Jul 2005
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s11005-005-6784-3

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title = "Hierarchy of the Selberg zeta functions",

abstract = "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.",

author = "Yasufumi Hashimoto and Masato Wakayama",

year = "2005",

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AU - Wakayama, Masato

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Hierarchy of the Selberg zeta functions

Abstract

All Science Journal Classification (ASJC) codes

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