English

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 ζ\zeta function values, γ\gamma and algebraic numbers (to name a few). In particular the project lists a number of conjectures involving even and odd ζ\zeta 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).

Keywords

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}
}
R2 v1 2026-06-28T05:00:26.927Z