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

Bruce C. Berndt; Jaebum Sohn

doi:10.1112/S0024610701002952

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

Bruce C. Berndt, Jaebum Sohn

Department of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	271-284
Number of pages	14
Journal	Journal of the London Mathematical Society
Volume	65
Issue number	2
DOIs	https://doi.org/10.1112/S0024610701002952
Publication status	Published - 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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10.1112/S0024610701002952

Cite this

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title = "Asymptotic formulas for two continued fractions in Ramanujan's lost notebook",

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.",

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

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

Access to Document

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