Integral factorial ratios: irreducible examples with height larger than 1

Integral factorial ratios: irreducible examples with height larger than 1

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 ...

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Veröffentlicht in:Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences physical, and engineering sciences, 2020-01, Vol.378 (2163), p.20180444-20180444, Article 20180444
1. Verfasser: Soundararajan, K.
Format: Artikel
Sprache:eng
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Multidisciplinary Sciences
Science & Technology
Science & Technology - Other Topics
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Zusammenfassung: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'.
ISSN:1364-503X
1471-2962
DOI:10.1098/rsta.2018.0444