Some integrals in Ramanujan's lost notebook

Bruce C. Berndt

Research output: Contribution to journalArticlepeer-review


On page 199 in his lost notebook, Ramanujan recorded three unusual integral formulas. Two of his assertions are correct, and proofs are given here. His third claim is incorrect, but it is true in a limiting form. The integrals arise from a claim in Ramanujan's ordinary notebooks on the equality of certain integrals and series in which the integrand and the summands are themselves the same function.

Original languageEnglish (US)
Pages (from-to)2983-2988
Number of pages6
JournalProceedings of the American Mathematical Society
Issue number10
StatePublished - Oct 2004

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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