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 \(\varphi_{0}(u,v)=u^{2}+Av^{2}\), \(A>0\), \(A\equiv1,2(mod\,4)\) and \(\varphi_{0}(u,v)\) belongs to the one-class kind \(G_{0}\) of the quadratic forms of discriminan...

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Bibliographic Details
Date:2018
Main Authors: Savastru, O. V., Varbanets, P. D.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/920
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics