ON TWO INTERESTING SOMOS'S THETA FUNCTION IDENTITIES OF LEVEL 14

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 99

Volume : 19 , Issue : 2
DOI: https://doi.org/10.56827/SEAJMMS.2023.1902.02
Author :
R. G. Veeresha (Department of Mathematics, Sri Jayachamarajendra College of Engineering, JSS Science and Technology University, Manasagangotri, Mysuru - 570006, Karna)

Abstract

Michael Somos has discovered around 6300 theta function identities using computer and runs PARI/GP scripts. In this paper, we give a proof of two Somos's interesting and elegant theta function identities of level 14 and also we derive two $P$-$Q$ theta function identities of level 14 due to Ramanujan.

Keywords and Phrases

Theta functions, Dedekind eta-function.

A.M.S. subject classification

11F11, 11F20.

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