On Tue, Jun 7, 2011 at 2:33 PM, Pablo De Napoli <[email protected]> wrote:
> Hi,
>
> Though Sage has some extensive support for Riemann zeta function and
> L-series (through. lcal) , it seems to
> have no function for computing some common generalizations of it, like
> Hurwitz zeta function o Lerch trascendent.
>
> I've found through the article in wikipedia that in
>
> http://aksenov.freeshell.org/lerchphi.html
>
> there are some programs for computing Lerch function, but
> unfortunately the code is not GPL-compatible.
> (According to the user guide commercial use is not permited)

mpmath has both the Hurwitz zeta function and the Lerch transcendent,
for complex arguments and with arbitrary precision. See:

http://mpmath.googlecode.com/svn/trunk/doc/build/functions/zeta.html

Fredrik

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