On certain identities for ratios of theta-functions and some new modular equations of mixed degree |
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| Authors: | K. R. Vasuki C. Chamaraju |
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| Affiliation: | 1. University of Mysore, Manasagangotri, Mysore, India
2. Sri Jayachamarajendra College of Engineering, Manasagangotri, Mysore, India
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| Abstract: | In this paper, we derive certain identities for ratios of theta-functions. As applications of the identities, we establish certain new modular equations of mixed degree in the theory of signature 3, which are analogous to Ramanujan-Weber type modular equations and Ramanujan-Schläfli type mixed modular equations. |
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