Ramanujan-like series for $1/\pi^2$ and String Theory

TL;DR

This paper derives formulas for 1/π^2 using Calabi-Yau differential equations, expanding the class of known series related to π and its powers.

Contribution

It introduces new Ramanujan-like series for 1/π^2 based on Calabi-Yau differential equations, including both hypergeometric and non-hypergeometric types.

Findings

Formulas for 1/π^2 derived from Calabi-Yau equations

Includes hypergeometric and non-hypergeometric series

Advances understanding of series related to π^2

Abstract

Using the machinery from the theory of Calabi-Yau differential equations, we find formulas for $1/\pi^2$ of hypergeometric and non-hypergeometric types.