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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| Date: | 2005 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2005
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/156605 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |