Geodesic
On the mean square of the Epstein zeta-function
Algebra and discrete mathematics, no. 1 (2005), pp. 105-121.

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We consider the second power moment of the Epstein zeta-function and construct the asymptotic formula in special case, when $\varphi_{0}(u,v)=u^{2}+Av^{2}$, $A>0$, $A\equiv 1,2(mod\,4)$ and $\varphi_{0}(u,v)$ belongs to the one-class kind $G_{0}$ of the quadratic forms of discriminant $-4A$.
Keywords: Epstein zeta-function, approximate functional equation, asymptotic formula, second power moment. 
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O. V. Savastru; P. D. Varbanets. On the mean square of the Epstein zeta-function. Algebra and discrete mathematics, no. 1 (2005), pp. 105-121. http://geodesic.mathdoc.fr/item/ADM_2005_1_a9/