Abstract
We study several properties of Ramanujan’s remarkable product of theta functions a m,n and establish its connections with some other parameters involving theta-functions. We also show that the explicit values of a m,n can be used to evaluate Ramanujan’s class invariants and some other parameters of theta functions connected with Ramanujan’s continued fractions.
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The author is thankful to University Grants Commission, New Delhi, India for partially supporting the research work under the grant no. F. No. 41-1394/2012(SR).
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Saikia, N. Some Properties, Explicit Evaluations, and Applications of Ramanujan’s Remarkable Product of Theta Functions. Acta Math Vietnam 41, 133–142 (2016). https://doi.org/10.1007/s40306-014-0106-8
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DOI: https://doi.org/10.1007/s40306-014-0106-8