Some Remarks on Glaisher-Ramanujan Type Integrals

Published 6 May 2015 in math.NT | (1505.01530v1)

Abstract: Some integrals of the Glaisher-Ramanujan type are established in a more general form than in previous studies. As an application we prove some Ramanujan-type series identities, as well as a new formula for the Dirichlet beta function at the value $s=3.$

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Alexander E. Patkowski

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