Interesting Theta Function Identities Related to Jacobi Triple-Product

Abstract

Since Jacobi introduce the so-called theta functions they have been exten- sively investigated and have many applications in diverse areas for example number theory quantum physics quadratic forms and elliptic functions see the references here and references cited therein We recall the well known Jacobi triple product see e g 4 see also 1 2 3 5 6 7 8 9 10 as follows