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A Note on the Ramanujan Machine

Authors :
Brier, Eric
Naccache, David
Yifrach-Stav, Ofer
Publication Year :
2022

Abstract

The Ramanujan Machine project detects new expressions related to constants of interest, such as $\zeta$ function values, $\gamma$ and algebraic numbers (to name a few). In particular the project lists a number of conjectures involving even and odd $\zeta$ 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).

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2211.01058
Document Type :
Working Paper