On the fourth moment of the Epstein zeta functions and the related divisor problem

DOI10.3836/tjm/1374497524zbMath1355.11027OpenAlexW1993708326MaRDI QIDQ367032

Keiju Sono

Publication date: 25 September 2013

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

Full work available at URL: https://projecteuclid.org/euclid.tjm/1374497524

zbMATH Keywords

divisor problemfourth momentcoefficients of the Dirichlet series of Epstein zeta functionsEpstein zeta functionpositive definite symmetric matrix

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Other Dirichlet series and zeta functions (11M41)

Related Items

EPSTEIN ZETA-FUNCTIONS, SUBCONVEXITY, AND THE PURITY CONJECTURE

Cites Work

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• On a divisor problem related to the Epstein zeta-function. II
• The mean square of Dirichlet series associated with automorphic forms
• Hybrid bounds for Dirichlet L-functions
• A mean value theorem for Dirichlet series and a general divisor problem
• Topics in multiplicative number theory
• Contributions to the theory of the Dirichlet \(L\)-series and the Epstein zeta-functions
• Fractional moments of Dirichlet L-functions
• THE TWELFTH POWER MOMENT OF THE RIEMANN-FUNCTION
• HYBRID BOUNDS FOR DIRICHLET L-FUNCTIONS II
• On a divisor problem related to the Epstein zeta-function
• On a divisor problem related to the Epstein zeta-function

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