DLMF:25.15.E7 (Q7752)

From DRMF
Revision as of 01:05, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:25.15.E7
No description defined

    Statements

    Defining formula
    L ⁡ ( - 2 ⁢ n , χ ) = 0 ⁢  if  ⁢ χ ⁢ ( - 1 ) = 1 , Dirichlet-L 2 𝑛 𝜒 0  if  𝜒 1 1 {\displaystyle{\displaystyle L\left(-2n,\chi\right)=0\text{ if }\chi(-1)=1,}}
    0 references
    DLMF id
    DLMF:25.15.E7
    0 references
    constraint
    n = 0 , 1 , 2 , … 𝑛 0 1 2 … {\displaystyle{\displaystyle n=0,1,2,\dots}}
    0 references
    Symbols used
    Dirichlet $$L$$ -function
    Defining formula
    L ⁡ ( s , χ ) Dirichlet-L 𝑠 𝜒 {\displaystyle{\displaystyle L\left(\NVar{s},\NVar{\chi}\right)}}
    xml-id
    C25.S15.E1.m2aedec
    0 references
    Q12148
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C25.S1.XMD3.m1adec
    0 references
    Q12168
    Defining formula
    χ ⁢ ( n ) 𝜒 𝑛 {\displaystyle{\displaystyle\chi(n)}}
    xml-id
    C25.S15.XMD1.m1fdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q7752&oldid=29262"