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arXiv · 1210.1942

Identities for the Ramanujan zeta function

Mathew Rogers
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Abstract

We prove formulas for special values of the Ramanujan tau zeta function. Our formulas show that $L(Δ, k)$ is a period in the sense of Kontsevich and Zagier when $k\ge12$. As an illustration, we reduce $L(Δ, k)$ to explicit integrals of hypergeometric and algebraic functions when $k\in\{12,13,14,15\}$.

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Mathew Rogers. 2013-04-16. Identities for the Ramanujan zeta function. https://arxiv.org/abs/1210.1942

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