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

Fingerprint

Sum of divisors
Divisor Function
Modified Bessel Functions
Transformation Formula
Bessel functions
Ramanujan
Legendre
Analogue
Theorem
Character

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

Cite this

Berndt, Bruce C. ; Dixit, Atul ; Sohn, Jaebum. / Character analogues of theorems of Ramanujan, Koshliakov and Guinand. In: Advances in Applied Mathematics. 2011 ; Vol. 46, No. 1-4. pp. 54-70.
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Character analogues of theorems of Ramanujan, Koshliakov and Guinand. / Berndt, Bruce C.; Dixit, Atul; Sohn, Jaebum.

In: Advances in Applied Mathematics, Vol. 46, No. 1-4, 01.01.2011, p. 54-70.

Research output: Contribution to journalArticle

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