We derive analogues of theorems of Ramanujan, Koshliakov, and Guinand involving primitive characters and modified Bessel functions. As particular examples, transformation formulas involving the Legendre symbol and sums-of-divisors functions are established.
Bibliographical noteFunding Information:
E-mail addresses: email@example.com (B.C. Berndt), firstname.lastname@example.org (A. Dixit), email@example.com (J. Sohn). 1 Research partially supported by grant H98230-07-1-0088 from the National Security Agency. 2 Research supported by Korea Research Foundation Grant KRF-2006-312-C00006.
All Science Journal Classification (ASJC) codes
- Applied Mathematics