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Singular Series

A singular series is defined by

rho_(2s)(n)=(pi^s)/(Gamma(s))n^(s-1)sum_(p,q)((S_(p,q))/q)^(2s)e^(2nppii/q),

where S_(p,q) is a Gaussian sum, and Gamma(s) is the gamma function.

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Cite this as:

Weisstein, Eric W. "Singular Series." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SingularSeries.html

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