Character analogues of theorems of Ramanujan, Koshliakov and Guinand

Bruce C. Berndt, Atul Dixit, Jaebum Sohn

Research output: Contribution to journalArticlepeer-review

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 (US)
Pages (from-to)54-70
Number of pages17
JournalAdvances in Applied Mathematics
Volume46
Issue number1-4
DOIs
StatePublished - Jan 2011

Keywords

  • Character analogues
  • Divisor functions
  • Guinands formula
  • Koshliakovs formula
  • Modified Bessel functions
  • Ramanujans Lost Notebook

ASJC Scopus subject areas

  • Applied Mathematics

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