Integral factorial ratios: irreducible examples with height larger than 1. (24th January 2020)

• Record Type: Journal Article
• Authors: Soundararajan, K.
• Is Part Of: Philosophical transactions. Volume 378:Number 2163(2020)
• Publication Date: 2020-01-24
• Subjects: factorial ratios -- integrality -- number theory; Physical sciences -- Periodicals; Engineering -- Periodicals; Mathematics -- Periodicals; 500
• DOI: 10.1098/rsta.2018.0444
• Languages: English
• ISSNs: 1364-503X

Abstract

Abstract : This paper gives over 50 new examples of two-parameter families of integral factorial ratios of height 2. These examples are also shown to be irreducible, in the sense that they do not arise by putting together two factorial ratios of height 1. This article is part of a discussion meeting issue 'Srinivasa Ramanujan: in celebration of the centenary of his election as FRS'.