Ramanujan Math Work

by George Schils.

Some recent work on Ramanujan is summarized in the quick links below.

A starting paper provides some initial motivation and presents forms used in subsequent analysis.
The main result of this study is this paper containing a proof of a beautiful Ramanujan identity.
- In the Ramanujan biography written by Berndt, Andrews, and Rankin, et. al., it is commented that this formula is the most fascinating finite result they are aware of.
- A quick Ramanujan bio is given here.
- In enthusiasm, I conveyed this result to Berndt (world expert on Ramanujan), who gently replied back that this result had never been published but that he might just have seen similar factorizations before from someone in the Liverpool area.
A set of permutation studies is presented. The notation is as in the first paper above.