 | 1 | initial version |
Hi all!
What is the best way to compute the alternating Hurwitz zeta function with Sage?
Sage has an implementation of the Hurwitz zeta function, hurwitz_zeta(s,x), where s and x are complex, but not for the alternating Hurwitz zeta function.
There is the formula https://dlmf.nist.gov/25.11#E35 albeit with significant restrictions on the domain of s and x.
Which is a reliable way to implement hurwitz_alt_zeta(s,x) for general complex s and x, based on Sage functions?
| | 2 | retagged |
Hi all!
What is the best way to compute the alternating Hurwitz zeta function with Sage?
Sage has an implementation of the Hurwitz zeta function, hurwitz_zeta(s,x), where s and x are complex, but not for the alternating Hurwitz zeta function.
There is the formula https://dlmf.nist.gov/25.11#E35 albeit with significant restrictions on the domain of s and x.
Which is a reliable way to implement hurwitz_alt_zeta(s,x) for general complex s and x, based on Sage functions?
Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.
