DLMF:25.11.E36 (Q7710): Difference between revisions

From DRMF

Jump to navigation Jump to search

← Older edit Newer edit →

Revision as of 13:45, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:25.11.E36	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle L\left(s,\chi\right)=\sum_{n=1}^{\infty}\frac{% \chi(n)}{n^{s}}=k^{-s}\sum_{r=1}^{k-1}\chi(r)\zeta\left(s,\frac{r}{k}\right),}}

0 references

DLMF:25.11.E36

0 references

{\displaystyle{\displaystyle\Re s>1}}

0 references

Dirichlet $$L$$ -function

Defining formula

{\displaystyle{\displaystyle L\left(\NVar{s},\NVar{\chi}\right)}}

C25.S15.E1.m2adec

0 references

Hurwitz zeta function

Defining formula

{\displaystyle{\displaystyle\zeta\left(\NVar{s},\NVar{a}\right)}}

C25.S11.E1.m2aajdec

0 references

Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1asdec

0 references

Defining formula

{\displaystyle{\displaystyle k}}

C25.S1.XMD1.m1fdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q7710&oldid=39713"