On the prime number theorem for a compact Riemann surface

DOI10.1216/RMJ-2009-39-6-1837zbMath1279.11086WikidataQ57621881 ScholiaQ57621881MaRDI QIDQ1047539

Lejla Smajlovic, Muharem Avdispahić

Publication date: 5 January 2010

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

prime number theoremSelberg zeta function

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Cites Work

• Zur analytischen Theorie hyperbolischer Raumformen und Bewegungsgruppen. II
• Zur analytischen Theorie hyperbolischer Raumformen und Bewegungsgruppen. II. Nachtrag zu Math. Ann. 142, 385-398 (1961)
• The Selberg trace formula for \(\mathrm{PSL}(2,\mathbb R)\). Vol. I
• An explicit formula and its application to the Selberg trace formula
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