Modular equations of degrees 13, 29, and 61

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Modular_equations_of_degrees_13_29_and_61.pdf (280.61 KB)

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2023-11-21

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Abstract

Schröter-type theta function identities were very instrumental in proving modular equations. In this paper, by employing a generalization of this identity, we prove for the first time a modular equation of degree 61. Furthermore, new modular equations of degrees 13 and 29 are obtained.

Source Title

The Ramanujan Journal

Publisher

Springer New York LLC

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Theta functions, Modular equations, Rogers’ Method

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https://hdl.handle.net/11693/114472

Published Version (Please cite this version)

https://doi.org/10.1007/s11139-023-00794-2

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https://creativecommons.org/licenses/by/2.0/

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Scholarly Publications - Mathematics

Language

en_US

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Article