Holonomic alchemy and series for $1/\pi$
Shaun Cooper, James G. Wan, Wadim Zudilin
TL;DR
This paper explores new identities related to 1/π using translation techniques and known formulas involving special sequences, expanding the mathematical understanding of π-related series.
Contribution
It introduces novel methods to express Sun's conjectured identities for 1/π through known sequences and formulas, enhancing the toolkit for π series analysis.
Findings
Expressed Sun's conjectured identities using known formulas for 1/π.
Connected identities to Domb and Apéry-like sequences.
Provided new series representations for 1/π.
Abstract
We adopt the "translation" as well as other techniques to express several identities conjectured by Z.-W. Sun in arXiv:1102.5649v47 by means of known formulas for involving Domb and other Ap\'ery-like sequences.
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.