Jaebum Sohn

Affiliation: Yonsei University, Korea / University of Illinois

Email: jsohn@yonsei.ac.kr

Title Of Talk: Character analogues of theorems of Ramanujan, Koshliakov and Guinand

Abstract: We derive analogues of theorems of Ramanujan, Koshliakov and Guinand for primitive characters which consist of infinite series of modified Bessel functions. As particular examples, transformation formulas involving the Legendre symbol and sums-of-divisors functions are established.

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