# Integral factorial ratios: Irreducible examples with height larger than 1

Source: [Integral factorial ratios: Irreducible examples with height larger than 1](<https://www.sota2.com/research/paper/68fa57131e209131ce9a21a8>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T05:13:50.940Z

Authors: K. Soundararajan

Published: 2019-06-14T21:40:14.000Z

## Abstract

This paper discusses examples of integral factorial ratios of height 2 or more. It classifies (apart from finitely many examples) such factorial ratios with height 2 and norm at most 1/3, and describes a general result which exhibits more than 50 two parameter families of integral factorial ratios with height 2. These examples are shown to be irreducible in the sense that they do not arise from multiplying two factorial ratios of height 1.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1906.06413>)

[PDF](<https://arxiv.org/pdf/1906.06413.pdf>)