Asymptotic formulas for two continued fractions in Ramanujan's lost notebook

Bruce C. Berndt, Jaebum Sohn

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

On page 45 of his lost notebook, Ramanujan recorded two asymptotic formulas for two continued fractions involving the Riemann zeta-function and Dirichlet L-functions. The paper proves a more general theorem and derives Ramanujan's claims as a corollary of the theorem.

Original languageEnglish
Pages (from-to)271-284
Number of pages14
JournalJournal of the London Mathematical Society
Volume65
Issue number2
DOIs
Publication statusPublished - 2002

Bibliographical note

Funding Information:
The rst author’s research was sponsored by grant MDA904-00-1-0015 from the National Security Agency.

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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