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Formulas for the Riemann zeta-function and certain Dirichlet series

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ABSTRACT Using known theta identities and formulas of S. Ramanujan and G. Hardy among others we prove several formulas for the Riemann zeta-function and two Dirichlet series. Click to show full abstract

ABSTRACT Using known theta identities and formulas of S. Ramanujan and G. Hardy among others we prove several formulas for the Riemann zeta-function and two Dirichlet series.

Keywords: zeta function; dirichlet series; formulas riemann; riemann zeta

Journal Title: Integral Transforms and Special Functions
Year Published: 2018

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