Ramanujan's Eisenstein series and new hypergeometric-like series for 1/π2

  • Authors:

  • Nayandeep Deka Baruah;Bruce C. Berndt

  • Affiliations:

  • Department of Mathematical Sciences, Tezpur Universtiy, Napaam 784028, Sonitpur, Assam, India;Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, IL 61801, USA

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2009

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Abstract

Using hypergeometric identities and certain representations for Eisenstein series, we uniformly derive several new series representations for 1/@p^2.