Zeta-functions of harmonic theta-series and prime numbers

DOI10.1090/S1061-0022-2012-01195-7zbMath1248.11033OpenAlexW2088790016MaRDI QIDQ5389606

Anatolii N. Andrianov

Publication date: 22 April 2012

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-2012-01195-7

zbMATH Keywords

Euler productsHecke operatorsprime numbersharmonic theta-functions and theta-serieszeta-functions of theta-functions and theta-series

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Theta series; Weil representation; theta correspondences (11F27) Other Dirichlet series and zeta functions (11M41) Hecke-Petersson operators, differential operators (several variables) (11F60)

Cites Work

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• Über Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Produktentwicklung. I
• Das Verhalten von mehrfachen Thetareihen bei Modulsubstitutionen
• Interaction sums and action of Hecke operators on theta-series
• Symmetries of harmonic theta-functions of integral quadratic forms

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