ASKSAGE: Sage Q&A Forum - Latest question feedhttp://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Wed, 15 Apr 2015 11:10:04 -0500How can I get the coefficient of a Dirichlet series?http://ask.sagemath.org/question/26537/how-can-i-get-the-coefficient-of-a-dirichlet-series/Hello.
Let's see this example.
g(x)=(1-3^(-x))*(f(x))^2
where f(x) is the Riemann zeta function and x is complex variable.
If Re(s) is sufficiently large then g(x) is converges.
We only view this g(x) as a formal Dirichlet series.
What I want is coefficients.
The Riemann zeta function is rewritten by
f(x)=1+2^(-x)+3^(-x)+ ...
We can also rewrite the g(x) by the sum of `a_n * n^(-x)`.
g(x)=sum{a_n * n^(-x) | n=1,2,...}
For given `n`, how can I get `a_n` ??
Is there any helpful sage command ??
Thanks.SeminWed, 15 Apr 2015 11:10:04 -0500http://ask.sagemath.org/question/26537/