[sage-support] Re: Dirichlet series

2009-05-04 Thread Robert Bradshaw
On May 4, 2009, at 11:19 AM, kcrisman wrote: > >> Actually, Dokchitser's algorithm only handles functions with finitely >> many poles, so it won't be able to handle this if L(s) = 1/zeta(s). > > Yes, the series which comes from Moebius mu ends up being 1/zeta, > essentially "because" mu is the Di

[sage-support] Re: Dirichlet series

2009-05-04 Thread kcrisman
> Actually, Dokchitser's algorithm only handles functions with finitely   > many poles, so it won't be able to handle this if L(s) = 1/zeta(s). Yes, the series which comes from Moebius mu ends up being 1/zeta, essentially "because" mu is the Dirichlet inverse of the unit function u (where u(n)=1

[sage-support] Re: Dirichlet series

2009-05-04 Thread Robert Bradshaw
On May 4, 2009, at 10:52 AM, Robert Bradshaw wrote: > On May 4, 2009, at 8:57 AM, kcrisman wrote: > >> Dear Support, >> >> There are several calculators in reference/lfunctions.html for L- >> functions. However, I am not quite sure what to do if I want a >> "Dirichlet series" coming not from a c

[sage-support] Re: Dirichlet series

2009-05-04 Thread Robert Bradshaw
On May 4, 2009, at 8:57 AM, kcrisman wrote: > Dear Support, > > There are several calculators in reference/lfunctions.html for L- > functions. However, I am not quite sure what to do if I want a > "Dirichlet series" coming not from a character nor an elliptic curve, > e.g. sum mu(n)/n^s for the