Hierarchy of the Selberg zeta functions

Details Hierarchy of the Selberg zeta functions Hierarchy of the Selberg zeta functions

2005-01-18

arxiv.org/abs/math-ph/0501047v2

Lett. Math. Phys. Vol. 73 (2005), p.59-70.

Physics

Mathematical Physics

14 pages

Scientific paper

10.1007/s11005-005-6784-3

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.

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