A study of the crank function in Ramanujan's Lost Notebook

Manjil P. Saikia

A study of the crank function in Ramanujan's Lost Notebook

History and Overview 2015-05-14 v4 Combinatorics Number Theory

Authors: Manjil P. Saikia

Abstract

In this note, we shall give a brief survey of the results that are found in Ramanujan's Lost Notebook related to cranks. Recent work by B. C. Berndt, H. H. Chan, S. H. Chan and W. -C. Liaw have shown conclusively that cranks was the last mathematical object that Ramanujan studied. We shall closely follow the work of Berndt, Chan, Chan and Liaw and give a brief description of their work.

Cite

@article{arxiv.1406.3299,
  title  = {A study of the crank function in Ramanujan's Lost Notebook},
  author = {Manjil P. Saikia},
  journal= {arXiv preprint arXiv:1406.3299},
  year   = {2015}
}