Cranks in Ramanujan's Lost Notebook

TL;DR

This paper reviews Ramanujan's work on cranks from his Lost Notebook, highlighting recent discoveries by Bruce Berndt and colleagues that shed light on Ramanujan's contributions to partition theory.

Contribution

It summarizes and emphasizes recent findings on Ramanujan's crank functions from the Lost Notebook, providing insights into historical and mathematical developments.

Findings

Recent results by Berndt and coauthors on Ramanujan's cranks

Clarification of Ramanujan's original ideas on cranks

Enhanced understanding of partition theory history

Abstract

We give a brief review of the work of Ramanujan on cranks that is found in the Lost Notebook. Recent work by Bruce Berndt and his coauthors have brought to light many interesting results of Ramanujan on cranks, which we highlight in this article.