Journal of Mathematical Sciences

, Volume 166, Issue 2, pp 214–221

On Epstein’s zeta function. II


DOI: 10.1007/s10958-010-9862-8

Cite this article as:
Fomenko, O.M. J Math Sci (2010) 166: 214. doi:10.1007/s10958-010-9862-8

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.

Copyright information

© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  1. 1.St. Petersburg Department of the Steklov Mathematical InstituteSt.PetersburgRussia