DLMF:27.8.E6 (Q8052): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:27.8.E6	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{r=1}^{\phi\left(k\right)}\chi_{r}\left(m% \right)\overline{\chi}_{r}(n)=\begin{cases}\phi\left(k\right),&m\equiv n\pmod{% k},\\ 0,&\mbox{otherwise}.\end{cases}}}

0 references

DLMF:27.8.E6

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Defining formula

{\displaystyle{\displaystyle\chi\left(\NVar{n}\right)}}

C27.S8.m1aedec

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Euler’s totient

Defining formula

{\displaystyle{\displaystyle\phi\left(\NVar{n}\right)}}

C27.S2.E7.m2adec

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complex conjugate

Defining formula

{\displaystyle{\displaystyle\overline{\NVar{z}}}}

C1.S9.E11.m2adec

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Defining formula

{\displaystyle{\displaystyle\equiv}}

introduction.Sx4.p2.t1.r10.m10adec

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Defining formula

{\displaystyle{\displaystyle k}}

C27.S1.XMD2.m1edec

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Defining formula

{\displaystyle{\displaystyle m}}

C27.S1.XMD3.m1adec

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Defining formula

{\displaystyle{\displaystyle n}}

C27.S1.XMD4.m1ddec

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Sitelinks

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