ON A NEW PARAMETER INVOLVING RAMANUJAN'S THETA-FUNCTIONS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 85

Volume : 19 , Issue : 2
DOI: https://doi.org/10.56827/SEAJMMS.2023.1902.03
Author :
S. Chandankumar (Department of Mathematics and Statistics, M. S. Ramaiah University of Applied Sciences, Bangalore - 560058, Karnataka, INDIA)
H. S. Sumanth Bharadwaj (Department of Mathematics and Statistics, M. S. Ramaiah University of Applied Sciences, Bangalore - 560058, Karnataka, INDIA)
Vijay Yadav (Department of Mathematics, S. P. D. T. College, Andheri (E), Mumbai - 400059, Maharashtra, INDIA)

Abstract

Srinivasa Ramanujan recorded explicit evaluations of certain quotients of theta functions in his lost notebook. Motivated by the works of Ramanujan, Jinhee Yi systematically studied the analogues of explicit evaluation of quotients of theta functions by defining parameters. In this work, we define a new parameter involving theta-functions and establish some modular relations to explicitly evaluate the parameter.

Keywords and Phrases

Modular equations, theta-functions.

A.M.S. subject classification

05A17, 11P83.

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