RUELLE TYPE L-FUNCTIONS VERSUS DETERMINANTS OF LAPLACIANS FOR TORSION FREE ABELIAN GROUPS

DOI10.1142/S0129167X08004959zbMath1218.11083arXivmath/0702209OpenAlexW3100859573MaRDI QIDQ3542821

Nobushige Kurokawa, Masato Wakayama, Yoshinori Yamasaki

Publication date: 1 December 2008

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702209

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Cites Work

• On the \(\Gamma\)-factors attached to motives
• Zeta-functions for expanding maps and Anosov flows
• On Dirichlet series for sums of squares
• A Generalization of Lerch?s Formula
• RUELLE TYPE ZETA FUNCTIONS FOR TORI AND SOME ARITHMETICS
• Mean square value of exponential sums related to the representation of integers as sums of squares
• Non-vanishing of \(L\)-functions and applications

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