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 

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

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.