Factorials and powers, a minimality result, revisited

2021/06/03 by Radford, David E.
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2106.02109

Abstract

Let a > 1. Then aⁿ < n! for some positive integer n. There are several numerical sequences associated with the study of the smallest such integer which are studied in \citeRadFact and \citeRadGamma. Here we continue the examination of one of them.

Related

• Factorials and powers, a minimality result
• Diophantine equations involving powers of factorials
• The gamma function and a certain sequence of differences
• Decomposing a factorial into large factors
• A Function in the Number Theory