Evaluations of Ramanujan Continued Fractions

TL;DR

This paper explores experimental methods for evaluating Ramanujan's quantities related to algebraic numbers, producing new formulas and ideas for theorem proving using computational tools like Mathematica.

Contribution

It introduces novel experimental approaches for evaluating Ramanujan's quantities and suggests new formulas and ideas for mathematical proofs.

Findings

New formulas for Ramanujan's quantities

Experimental evaluation methods demonstrated

Potential for new theorem proofs

Abstract

In this paper we present experimental ways of evaluating Ramanujan`s quantities which as someone can see are related with algebraic numbers. The good thing with algebraic numbers is that can be found in a closed form, from there approximations, using Mathematica. In this way we produce new formulas and give new ideas for to prove new theorems.