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Singular Series


\begin{displaymath}
\rho_{2s}(n)={\pi^s\over\Gamma(s)} n^{s-1} \sum_{p, q} \left({S_{p, q}\over q}\right)^{2s} e^{2np\pi i/q},
\end{displaymath}

where $S_{p,q}$ is a Gaussian Sum, and $\Gamma(s)$ is the Gamma Function.




© 1996-9 Eric W. Weisstein
1999-05-26