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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Збережено в:
Бібліографічні деталі
Опубліковано в: :Algebra and Discrete Mathematics
Дата:2005
Автори: Savastru, O.V., Varbanets, P.D.
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут прикладної математики і механіки НАН України 2005
Онлайн доступ:https://nasplib.isofts.kiev.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
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author Savastru, O.V.
Varbanets, P.D.
author_facet Savastru, O.V.
Varbanets, P.D.
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.
collection DSpace DC
container_title Algebra and Discrete Mathematics
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.
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language English
last_indexed 2025-11-25T23:55:28Z
publishDate 2005
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Savastru, O.V.
Varbanets, P.D.
2019-06-18T17:48:07Z
2019-06-18T17:48:07Z
2005
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.
https://nasplib.isofts.kiev.ua/handle/123456789/156605
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.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
On the mean square of the Epstein zeta-function
Article
published earlier
spellingShingle On the mean square of the Epstein zeta-function
Savastru, O.V.
Varbanets, P.D.
title 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_short On the mean square of the Epstein zeta-function
title_sort on the mean square of the epstein zeta-function
url https://nasplib.isofts.kiev.ua/handle/123456789/156605
work_keys_str_mv AT savastruov onthemeansquareoftheepsteinzetafunction
AT varbanetspd onthemeansquareoftheepsteinzetafunction