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Weighted divisor sums and Bessel function series, II

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


Book ID
113421844
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
272 KB
Volume
229
Category
Article
ISSN
0001-8708

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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