Does there exist a database for aDirichlet L-series?

Asked May 19 '20 at 11:16

Active May 19 '20 at 11:57

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I want to find an L-function with a Dirichlet character $\chi$(or with a product of zeta function) to be equal the following series

$$ G(s)=\sum_{n >1 }\frac{1}{n^s}=1+\frac{1}{4^s}+\frac{1}{6^s}+\frac{1}{8^s}+......$$ Where $n $ is not prime

I find Dirichlet L-series for $n$ are prime but I search for series with $n $ are not prime $$ L(s,\chi_{-4})=1+\frac{1}{2^s}-\frac{1}{3^s}+\frac{1}{5^s}-......$$

My question: does there exist some database for the coefficient of Dirichlet L-series.

edited May 19 '20 at 11:57

asked May 19 '20 at 11:16

Aster Phoenix

@DietrichBrude$n$ of the. First series $G(s)$ – Aster Phoenix May 19 '20 at 11:34
Does this answer your question? Alternating prime zeta function – Dietrich Burde May 19 '20 at 11:40
See also this MO-post. – Dietrich Burde May 19 '20 at 11:41
@Dietrich Brude I serac for series like $G(s)$ has integer not prime. – Aster Phoenix May 19 '20 at 11:56
@reuns do you have idea – Aster Phoenix May 19 '20 at 12:56

Does there exist a database for aDirichlet L-series?

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