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

5th International Algebraic Conference in Ukraine

This volume contains papers based on the talks presented at the 5t h In- ternational Algebraic Conference in Ukraine, which took place in Ode ssa on July 20–27, 2005. The conference was organized by Odessa I. I. M ech- nikov National University, Kyiv Taras Shevchenko National Univers ity, Institute of Mathematics of National Academy of Sciences of Ukrain e, Odessa A. S. Popov National Academy of Communication and Lugansk Taras Shevchenko National Pedagogical University