Ask Your Question

Revision history [back]

click to hide/show revision 1
initial version

How to compute the alternating Hurwitz zeta function?

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?

click to hide/show revision 2
retagged

How to compute the alternating Hurwitz zeta function?

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?