On proving some of Ramanujan's formulas for $\frac{1}{\pi}$ with an elementary method

TL;DR

This paper presents an elementary approach to proving several of Ramanujan's formulas for 1/π, simplifying the understanding of these complex mathematical identities.

Contribution

It introduces a straightforward elementary method to prove Ramanujan's formulas for 1/π, making these results more accessible.

Findings

Successfully proves multiple Ramanujan formulas for 1/π

Demonstrates the effectiveness of elementary methods in complex proofs

Simplifies understanding of modular equations related to π

Abstract

In this paper we want to prove some formulas listed by S. Ramanujan in his paper "Modular equations and approximations to $\pi$" \cite{24} with an elementary method.