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A continued fraction from Ramanujan’s lost notebook

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Summary.

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.

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Authors and Affiliations

  1. Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, IL, 61801, USA

    Bruce C. Berndt & Geumlan Choi

Authors
  1. Bruce C. Berndt
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  2. Geumlan Choi
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Corresponding author

Correspondence to Bruce C. Berndt.

Additional information

Manuscript received: September 8, 2003 and, in final form, February 22, 2004.

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Berndt, B.C., Choi, G. A continued fraction from Ramanujan’s lost notebook. Aequ. math. 69, 257–262 (2005). https://doi.org/10.1007/s00010-004-2738-6

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  • DOI: https://doi.org/10.1007/s00010-004-2738-6

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