Formula:DLMF:25.10:E1

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Substitution(s)


Constraint(s)

&
is chosen to make real &
assumes its principal value


Proof

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Symbols List

& : logical and
 : exponential function : http://dlmf.nist.gov/4.2#E19
 : imaginary unit : http://dlmf.nist.gov/1.9.i
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \zeta}}  : Riemann zeta function : http://dlmf.nist.gov/25.2#E1
 : phase : http://dlmf.nist.gov/1.9#E7
 : Euler's gamma function : http://dlmf.nist.gov/5.2#E1
 : principal branch of logarithm function : http://dlmf.nist.gov/4.2#E2
 : element of : http://dlmf.nist.gov/front/introduction#Sx4.p1.t1.r9

Bibliography

Equation (1), Section 25.10 of DLMF.

URL links

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