Periodic Zeta Function

Author

Eric W. Weisstein
November 30, 2008

This notebook downloaded from http://mathworld.wolfram.com/notebooks/SpecialFunctions/PeriodicZetaFunction.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/PeriodicZetaFunction.html.

©2008 Wolfram Research, Inc. except for portions noted otherwise

Sum

(∑_m^∞)((exp(2 π i m x))/(m^s))==(PolyLog[s, (e^(2 i π x))])

Sum[((Exp[2π I m x])/(m^s)),{m,∞}]