New hypergeometric-like series for 1/𝜋² arising from Ramanujan’s theory of elliptic functions to alternative base 3

Deka Baruah, Nayandeep; Nayak, Narayan

doi:10.1090/S0002-9947-2010-05180-3

New hypergeometric-like series for $1/\pi ^2$ arising from Ramanujan’s theory of elliptic functions to alternative base 3
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by Nayandeep Deka Baruah and Narayan Nayak

Trans. Amer. Math. Soc. 363 (2011), 887-900

DOI: https://doi.org/10.1090/S0002-9947-2010-05180-3

Published electronically: August 24, 2010

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Abstract:

By using certain representations for Eisenstein series, we find new hypergeometric-like series for $1/\pi ^2$ arising from Ramanujan’s theory of elliptic functions to alternative base 3.

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