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Weighted divisor sums and Bessel function series. III

โœ Scribed by Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru


Book ID
121874079
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2013
Tongue
English
Weight
320 KB
Volume
2013
Category
Article
ISSN
0075-4102

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Weighted divisor sums and Bessel functio
โœ Berndt, Bruce C.; Kim, Sun; Zaharescu, Alexandru ๐Ÿ“‚ Article ๐Ÿ“… 2013 ๐Ÿ› Walter de Gruyter GmbH & Co. KG ๐ŸŒ English โš– 320 KB

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