vix.ing · top · new · best · stats

Automatic discovery of irrationality proofs and irrationality measures

2019/12/22 by Doron Zeilberger, Wadim Zudilin · 9 citations
Computer Science · Mathematics · #Calculus (dental) #Computation #History and Theory of Mathematics #Irrationality #Logic, programming, and type systems #Mathematical proof #Natural (archaeology) #Polynomial and algebraic computation #math.CA #math.CO #math.NT #msc:11J71 #msc:11J82 #msc:11Y60 #msc:33F10

paper · pdf · doi:10.1142/s1793042120400230

published in International Journal of Number Theory 17(03), 815-825 (World Scientific) · 10 pages; accompanying Maple packages available from http://www.math.rutgers.edu/~zeilberg/mamarim/mamarimhtml/gat.html

arxiv created 2019/12/22 · openalex created_date 2019/12/26 · openalex publication_date 2020/09/23 · arxiv updated 2021/05/10 · openalex updated_date 2026/08/05

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.

Citations