Universality of the Selberg zeta-function forthe modular group

DOI10.1515/form.2011.127zbMath1328.11093OpenAlexW2334129254MaRDI QIDQ2836445

Ramūnas Garunkštis, A. Kačėnas, Paulius Drungilas

Publication date: 3 July 2013

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/form.2011.127

zbMATH Keywords

Selberg zeta-functionuniversality theoremgeneralized Dirichlet series

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Related Items (7)

On the universality of the Epstein zeta function ⋮ Distinguishing \(L\)-functions by joint universality ⋮ Second moment of the Beurling zeta-function ⋮ Joint universality theorem of Selberg zeta functions for principal congruence subgroups ⋮ On second moment of Selberg zeta-function for \(\sigma =1\) ⋮ THE MEAN SQUARE OF THE LOGARITHMIC DERIVATIVE OF THE SELBERG ZETA FUNCTION FOR COCOMPACT DISCRETE SUBGROUPS ⋮ On the vertical distribution of the \(a\)-points of the Selberg zeta-function attached to a finite volume Riemann surface

Cites Work

• Recurrence in topological dynamics and the Riemann hypothesis
• Parabolic components of zeta functions
• A joint universality theorem for Dirichlet L-functions
• On Cramér's theorem for general Euler products with functional equation
• Prime geodesic theorem
• Arithmetic forms of Selberg zeta functions with applications to prime geodesic theorem
• On Selberg's eigenvalue conjecture
• A central limit theorem for the spectrum of the modular domain
• Universal families and hypercyclic operators
• Class numbers of indefinite binary quadratic forms

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