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.
R. Dwilewicz and J. Minac, "The Hurwitz Zeta Function as a Convergent Series," Rocky Mountain Journal of Mathematics, Rocky Mountain Mathematics Consortium, Jan 2006.
The definitive version is available at https://doi.org/10.1216/rmjm/1181069411
Mathematics and Statistics
Keywords and Phrases
Bernoilli numbers; Bernoulli poylnomials; Hurwitz zeta function
International Standard Serial Number (ISSN)
Article - Journal
© 2006 Rocky Mountain Mathematics Consortium, All rights reserved.
01 Jan 2006