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Ramanujan Series for Epstein Zeta Functions
In the spirit of Ramanujan, we derive exponentially fast convergent series
for Epstein zeta functions on the Hecke congruence
groups , where is an arbitrary point in
the upper half-plane , and . These Ramanujan
series can be reformulated as integrations of modular forms, in the framework
of Eichler integrals. Particular cases of these Eichler integrals recover part
of the recent results reported by Wan and Zucker (arXiv:1410.7081v1).Comment: Minor changes. An addendum to arXiv:1312.6352v4. 15 page
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