On Catalan Constant Continued Fractions
Symbolic Computation
2022-11-21 v5 Discrete Mathematics
Number Theory
Abstract
The Ramanujan Machine project detects new expressions related to constants of interest, such as function values, and algebraic numbers (to name a few). In particular the project lists a number of conjectures concerning the Catalan constant We show how to generate infinitely many. We used an ad hoc software toolchain and rather tedious mathematical developments. Because we do not provide a proper peer-reviewed proof of the relations given here we do not claim them to be theorems.
Cite
@article{arxiv.2210.15669,
title = {On Catalan Constant Continued Fractions},
author = {David Naccache and Ofer Yifrach-Stav},
journal= {arXiv preprint arXiv:2210.15669},
year = {2022}
}