Title

The Hurwitz Zeta Function as a Convergent Series

Abstract

New series for the Hurwitz zeta function which converge on the whole plane, except s = 1, are developed. This is applied to obtain a remarkably simple evaluation of some special values of the function.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Bernoilli numbers; Bernoulli poylnomials; Hurwitz zeta function

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2006 Rocky Mountain Math Consortium, All rights reserved.

Share

 
COinS