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Some New Ramanujan's Modular Equations of Degree 15

Number Theory 2023-07-25 v1

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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Cite

@article{arxiv.2307.11773,
  title  = {Some New Ramanujan's Modular Equations of Degree 15},
  author = {Zhang Chuan-Ding and Yang Li},
  journal= {arXiv preprint arXiv:2307.11773},
  year   = {2023}
}

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5 pages