Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

On Certain Modular Equations of Degree Three

Version 1 : Received: 1 July 2023 / Approved: 5 July 2023 / Online: 5 July 2023 (03:39:26 CEST)

How to cite: Zhai, H.-C. On Certain Modular Equations of Degree Three. Preprints 2023, 2023070252. https://doi.org/10.20944/preprints202307.0252.v1 Zhai, H.-C. On Certain Modular Equations of Degree Three. Preprints 2023, 2023070252. https://doi.org/10.20944/preprints202307.0252.v1

Abstract

We establish certain modular equations of degree three based on some results of Ramanujan's theta functions.

Keywords

Ramanujan's theta function; Modular equation; $q$-Shifted factorial

Subject

Computer Science and Mathematics, Algebra and Number Theory

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