For a geometrically finite hyperbolic surface X the Selberg zeta function Z X (s) was introduced in §2.5. The zeta function is associated with the length spectrum of X (or, equivalently, to traces of conjugacy classes of Γ).

Selberg zeta function and relative analytic torsion for hyperbolic odd-dimensional orbifolds Dissertation zur Erlangung des Doktorgrades (Dr. rer. nat.) der Mathematisch-Naturwissenschaftlichen Fakult at der Rheinischen Friedrich-Wilhelms-Universit at Bonn vorgelegt von Ksenia Fedosova aus

This problem originated in the number theoretic setting with an aim towards the resolution of the Lindel\"of hypothesis for Rankin-Selberg zeta functions. The Riemannian version of this problem has some bearing on the validity of fast algorithms for electronic structure computing and has been the subject of a recent string of papers. Bass, H. (1992) The Ihara-Selberg Zeta Function of a Tree Lattice. International Journal of Mathematics, 3, 717-797. Selberg's Work on the Zeta-Function 161 At the same time, Selberg [14] showed that 0 0 such that at least of the zeros p satisfy the inequality \ -- \\< c/logy. 1996, 2000, 2006: Stark and Terras generalize to edge and path zeta functions, Artin-type L-functions, and consider Siegel zeroes.

Selberg zeta function

From this we see that for any < 1 there is a constant c = c(x) > 0 such that at least of the zeros p satisfy the inequality \ -- \\< c/logy. 1996, 2000, 2006: Stark and Terras generalize to edge and path zeta functions, Artin-type L-functions, and consider Siegel zeroes. Now: a lot of people going in a lot of diﬀerent directions. Chris Storm (Dartmouth College) The Ihara-Selberg Zeta Function September 18, 2006 3 / 28 T1 - Turing’s Method for the Selberg Zeta-Function. AU - Booker, Andrew.

Bass, H. (1992) The Ihara-Selberg Zeta Function of a Tree Lattice. International Journal of Mathematics, 3, 717-797. http://dx.doi.org/10.1142/S0129167X92000357 . has been cited by the following article: TITLE: Non-Backtracking Random Walks and a Weighted Ihara’s Theorem. AUTHORS: Mark Kempton

Seminar/lecture notes include. Selberg and Ruelle zeta functions for compact hyperbolic manifolds . V. Baladi, Dynamical zeta functions, arXiv:1602.05873.

2020-09-01

The basic idea is to compute the trace of the iterated resolvent kernel of the hyperbolic Laplacian in order to arrive at the logarithmic derivative of the Anosov Flows and Dynamical Zeta Functions P. Giulietti, C. Liveraniyand M. Pollicottz March 5, 2012 Abstract We study the Ruelle and Selberg zeta functions for Cr Anosov ows, r>2, on a compact smooth manifold. We prove several re-sults, the most remarkable being: (a) for C1 ows the zeta function is meromorphic on the entire complex plane; (b Riemann zeta Spectrum adjacency matrix Mathematica experiment with random 53-regular graph - 2000 vertices ζ(52-s) as a function of s Top row = distributions for eigenvalues of A on left and imaginary parts of the zeta poles on right s=½+it. Bottom row = their respective normalized level spacings.

Anderson Champeau Jaspar Selberg. 229-649-3081 229-649-9428. Zeta Personeriasm · 229-649- 763-240-9956. Function Getdefiant uranolatry.
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There are analogous functions arising in other fields such as. Selberg's zeta function of a Riemann surface, Ihara's zeta function of a finite connected graph.

Ihara-Selberg zeta function for a q-regular graph.
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or number theoretic questions, but there are two involving the Riemann zeta function. 86 Hedvig Selberg, b. Liebermann, later married to Atle Selberg.

1989-01-01 · This chapter presents an account of Selberg's work on the zeta-function. Selberg's publications concerning the Riemann zeta-function appeared in Norwegian journals at a time when communications were disrupted by World War II. It was shown that an improvement can be obtained by using a mollifier on the critical line. Among other things, Selberg foundthat there is a zeta function which corresponds to [his trace formula]in the same way that [the Riemann zeta function] corresponds to [the Riemann-Weil explicit formula].