A WZ proof of Ramanujan's Formula for Pi
Shalosh B. Ekhad (Temple University), Doron Zeilberger (Temple, University)
TL;DR
This paper presents a concise Wilf-Zeilberger (WZ) proof of Ramanujan's famous series for Pi, providing a new perspective on this classical mathematical formula.
Contribution
It introduces a novel WZ proof technique for Ramanujan's Pi formula, simplifying and clarifying its derivation.
Findings
WZ proof offers a simpler derivation of Ramanujan's Pi series
The approach enhances understanding of Ramanujan's formulas
Potential for applying WZ methods to other mathematical series
Abstract
Ramanujan's series for Pi, that appeared in his famous letter to Hardy, is given a one-line WZ proof.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Mathematical Inequalities and Applications