On the mean square of the Epstein zeta-function

We consider the second power moment of the Epstein zeta-function and construct the asymptotic formula in special case, when ϕ₀(u,v) = u² + Av² , A > 0, A ≡ 1, 2(mod 4) and ϕ0(u,v) belongs to the one-class kind G₀ of the quadratic forms of discriminant −4A.

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Datum:2005
Hauptverfasser: Savastru, O.V., Varbanets, P.D.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2005
Schriftenreihe:Algebra and Discrete Mathematics
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/156605
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:On the mean square of the Epstein zeta-function / O.V. Savastru, P.D. Varbanets // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 1. — С. 105–121. — Бібліогр.: 16 назв. — англ.

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