Character analogues of theorems of Ramanujan, Koshliakov and Guinand

Bruce C. Berndt, Atul Dixit, Jaebum Sohn

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7 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)54-70
Number of pages17
JournalAdvances in Applied Mathematics
Issue number1-4
Publication statusPublished - 2011 Jan

Bibliographical note

Funding Information:
E-mail addresses: (B.C. Berndt), (A. Dixit), (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


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