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Research Article | Open Access

Some Schl a ¨ fli type modular equations of composite degrees

D. Anu Radha, B. R. Srivatsa Kumar( )
Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal-576 104, India
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Abstract

S. Ramanujan documented several modular equations of degrees in his notebooks. These identities are used to evaluate Weber's class in variants, continued fractions and many more. In the present work, we establish modular equations of composite degrees using the known identities.

Keywords

Dedekind η-functionmodular equationsq-identitytheta-function
CLC number: Primary 11F03, 11F27, 14H42

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AIMS Mathematics
Volume 8 Issue 3,
March 2023
Pages 6167-6175
DOI: 10.3934/math.2023311

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Cite this article:
Radha DA, Kumar BRS. Some Schl a ¨ fli type modular equations of composite degrees. AIMS Mathematics, 2023, 8(3): 6167-6175. https://doi.org/10.3934/math.2023311

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Received: 08 October 2022
Revised: 22 November 2022
Accepted: 01 December 2022
Published: 15 March 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)