Weighted divisor sums and Bessel functio
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Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru
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Article
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2013
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Walter de Gruyter GmbH & Co. KG
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English
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On page 335 in his lost notebook, Ramanujan recorded without proofs two identities involving finite trigonometric sums and doubly infinite series of Bessel functions. The two identities are intimately connected with the classical circle and divisor problems, respectively. For each of Ramanujan's ide