Formula:DLMF:25.15:E5

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Substitution(s)


Constraint(s)

is a primitive character (mod ) &
is the complex conjugate of


Proof

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Symbols List

& : logical and
 : Dirichlet -function : http://dlmf.nist.gov/25.15#E1
 : Euler's gamma function : http://dlmf.nist.gov/5.2#E1
 : ratio of a circle's circumference to its diameter : http://dlmf.nist.gov/5.19.E4
 : the base of the natural logarithm : http://dlmf.nist.gov/4.2.E11
 : imaginary unit : http://dlmf.nist.gov/1.9.i
 : sum : http://drmf.wmflabs.org/wiki/Definition:sum

Bibliography

Equation (5), Section 25.15 of DLMF.

URL links

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