An integral of Dedekind An integral of Dedekind An integral of Dedekind An integral of Dedekind eta-functions in Ramanujans lost notebook

Research output: Contribution to journalArticlepeer-review

Abstract

On page 207 in his lost notebook, Ramanujan recorded a curious formula for an integral of a certain quotient of Dedekind eta-functions. The formula involves a mysterious constant C, which Ramanujan claims, with two question marks appended, is a simple multiple of a Dirichlet L-function evaluated at the argument 2. The integral formula was first proved by S. H. Son, but he did not establish Ramanujan's formula for C. We give an entirely diÂerent proof of this result which also shows that Ramanujan's questioned formula for C is correct.

Original languageEnglish (US)
Pages (from-to)33-39
Number of pages7
JournalJournal fur die Reine und Angewandte Mathematik
Volume2002
Issue number551
DOIs
StatePublished - Sep 30 2002

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'An integral of Dedekind An integral of Dedekind An integral of Dedekind An integral of Dedekind eta-functions in Ramanujans lost notebook'. Together they form a unique fingerprint.

Cite this