Automatic Discovery of Irrationality Proofs and Irrationality Measures
Number Theory
2021-05-10 v1 Classical Analysis and ODEs
Combinatorics
Abstract
We illustrate the power of Experimental Mathematics and Symbolic Computation to suggest irrationality proofs of natural constants, and the determination of their irrationality measures. Sometimes such proofs can be fully automated, but sometimes there is still need for a human touch.
Keywords
Cite
@article{arxiv.1912.10381,
title = {Automatic Discovery of Irrationality Proofs and Irrationality Measures},
author = {Doron Zeilberger and Wadim Zudilin},
journal= {arXiv preprint arXiv:1912.10381},
year = {2021}
}
Comments
10 pages; accompanying Maple packages available from http://www.math.rutgers.edu/~zeilberg/mamarim/mamarimhtml/gat.html