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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| Дата: | 2005 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2005
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | 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 |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-156605 |
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| record_format |
dspace |
| spelling |
irk-123456789-1566052019-06-19T01:29:30Z On the mean square of the Epstein zeta-function Savastru, O.V. Varbanets, P.D. 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. 2005 Article 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. 1726-3255 2000 Mathematics Subject Classification: 11N37, 11R42. http://dspace.nbuv.gov.ua/handle/123456789/156605 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Savastru, O.V. Varbanets, P.D. |
| spellingShingle |
Savastru, O.V. Varbanets, P.D. On the mean square of the Epstein zeta-function Algebra and Discrete Mathematics |
| author_facet |
Savastru, O.V. Varbanets, P.D. |
| author_sort |
Savastru, O.V. |
| title |
On the mean square of the Epstein zeta-function |
| title_short |
On the mean square of the Epstein zeta-function |
| title_full |
On the mean square of the Epstein zeta-function |
| title_fullStr |
On the mean square of the Epstein zeta-function |
| title_full_unstemmed |
On the mean square of the Epstein zeta-function |
| title_sort |
on the mean square of the epstein zeta-function |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2005 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/156605 |
| citation_txt |
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. |
| series |
Algebra and Discrete Mathematics |
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AT savastruov onthemeansquareoftheepsteinzetafunction AT varbanetspd onthemeansquareoftheepsteinzetafunction |
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2023-05-20T17:50:06Z |
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2023-05-20T17:50:06Z |
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1796154194525159424 |