A continued fraction from Ramanujan's lost notebook

Bruce C. Berndt, Geumlan Choi

Research output: Contribution to journalArticlepeer-review


In his lost notebook, Ramanujan recorded without a proof the value of an elegant periodic continued fraction. The authors provide an elementary proof of a corrected version of Ramanujan's claim.

Original languageEnglish (US)
Pages (from-to)257-262
Number of pages6
JournalAequationes Mathematicae
Issue number3
StatePublished - May 2005


  • Periodic continued fraction
  • Ramanujan's lost notebook
  • Recurrence relations

ASJC Scopus subject areas

  • Mathematics(all)
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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