Series for $1/\pi$ arising from Cauchy product
Number Theory
2026-04-14 v2
Abstract
In this note, we evaluate a series for conjectured by Sun. Our proof uses the Cauchy product and hypergeometric transformations. From this result, we derive two additional analogous series for involving polynomials of degree . Further identities can be proved using our method; these are presented in a table at the end of the note.
Keywords
Cite
@article{arxiv.2604.03327,
title = {Series for $1/\pi$ arising from Cauchy product},
author = {Roman Le Lan},
journal= {arXiv preprint arXiv:2604.03327},
year = {2026}
}
Comments
5 pages