Character analogues of theorems of Ramanujan, Koshliakov and Guinand

Bruce C. Berndt, Atul Dixit, Jaebum Sohn

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

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
Volume46
Issue number1-4
DOIs
Publication statusPublished - 2011 Jan 1

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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