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Circle and divisor problems, and double series of Bessel functions

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


Book ID
120352499
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
343 KB
Volume
236
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