On Ramanujan's cubic continued fraction and explicit evaluations of theta-functions

TL;DR

This paper explores Ramanujan's cubic continued fraction and provides explicit evaluations of theta-functions, enhancing understanding of their properties and relationships in mathematical analysis.

Contribution

It offers new explicit evaluations of theta-functions and deepens the understanding of Ramanujan's cubic continued fraction.

Findings

Derived explicit formulas for theta-functions

Connected Ramanujan's continued fraction with theta-function evaluations

Enhanced analytical tools for studying special functions

Abstract

We study Ramanujan's cubic continued fraction and explicit evaluations of theta-functions