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....
Saved in:
| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2005 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2005
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/156605 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862565362604703744 |
|---|---|
| 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.
|
| first_indexed | 2025-11-25T23:55:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156605 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| 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 |