Article

Journal of Mathematical Sciences

, Volume 166, Issue 2, pp 214-221

On Epstein’s zeta function. II

  • O. M. FomenkoAffiliated withSt. Petersburg Department of the Steklov Mathematical Institute Email author 

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In the present work, properties of the Epstein zeta function ζ3(s) associated with the sum of three squares are studied. These properties are the following: the behavior in the critical strip, mean value theorems, the distribution of zeros, and the functional equation of a special type. Some conjectures are advanced. Bibliography: 20 titles.