Some New Ramanujan's Modular Equations of Degree 15

Zhang Chuan-Ding; Yang Li

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arXiv · 2307.11773

Some New Ramanujan's Modular Equations of Degree 15

Zhang Chuan-Ding·Yang Li

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Abstract

Ramanujan in his notebook recorded two modular equations involving multiplier with moduli of degrees (1,7) and (1,23). In this paper, we find some new Ramanujan's modular equations involving multiplier with moduli of degrees (3,5) and (1,15), and give concise proofs by employing Ramanujan's multiplier function equation.

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Zhang Chuan-Ding, Yang Li. 2023-07-13. Some New Ramanujan's Modular Equations of Degree 15. https://arxiv.org/abs/2307.11773

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