Some theorems on the explicit evaluation of Ramanujan's theta-functions

Nayandeep Deka Baruah and P. Bhattacharyya

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-11

Abstract:

Bruce C. Berndt et al. and Soon-Yi Kang have proved many of Ramanujan's formulas for the explicit evaluation of the Rogers-Ramanujan continued fraction and theta-functions in terms of Weber-Ramanujan class invariants. In this note, we give alternative proofs of some of these identities of theta-functions recorded by Ramanujan in his notebooks and deduce some formulas for the explicit evaluation of his theta-functions in terms of Weber-Ramanujan class invariants.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:187908

DOI: 10.1155/S0161171204111058

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