You may compute Hurwitz zeta function with mpmath: sage: import mpmath as M sage: M.mp.pretty = True sage: M.mp.dps = 50 sage: M.zeta(2,3/4); M.pi**2-8*M.catalan 2.5418796476716064983976628804170782491205044129874 2.5418796476716064983976628804170782491205044129874
See http://mpmath.googlecode.com/svn/trunk/doc/build/functions/zeta.html You may also compute zeros of zeta: sage: M.zetazero(3570918901); M.zetazero(3570918902) (0.5 + 1239587702.5474503137548190297456310230677347898161j) (0.5 + 1239587702.5475238717470881885550553461980691177366j) An example of two very near zeros of zeta. Best regards, Juan Arias de Reyna El 07/06/2011, a las 14:33, Pablo De Napoli escribió: > 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) > > best regards > Pablo > > -- > To post to this group, send an email to [email protected] > To unsubscribe from this group, send an email to > [email protected] > For more options, visit this group at > http://groups.google.com/group/sage-devel > URL: http://www.sagemath.org -- To post to this group, send an email to [email protected] To unsubscribe from this group, send an email to [email protected] For more options, visit this group at http://groups.google.com/group/sage-devel URL: http://www.sagemath.org
