A Note on the Ramanujan Machine
Number Theory
2022-11-04 v2 Symbolic Computation
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 involving even and odd function values, logarithms etc. We show that many relations detected by the Ramanujan Machine Project stem from a specific algebraic observation and show how to generate infinitely many. This provides an automated proof and/or an explanation of many of the relations listed as conjectures by the project (although not all of them).
Cite
@article{arxiv.2211.01058,
title = {A Note on the Ramanujan Machine},
author = {Eric Brier and David Naccache and Ofer Yifrach-Stav},
journal= {arXiv preprint arXiv:2211.01058},
year = {2022}
}