积分阶乘比：高度大于1的不可约例子
数论
2020-07-01 v1
摘要
本文讨论高度不小于2的积分阶乘比的例子。它分类了(除有限多个例子外)高度为2且范数至多为1/3的此类阶乘比，并描述了一个一般性结果，展示了50多个高度为2的积分阶乘比的双参数族。这些例子被证明是不可约的，即它们并非由两个高度为1的阶乘比相乘而得。
引用
@article{arxiv.1906.06413,
title = {Integral factorial ratios: Irreducible examples with height larger than 1},
author = {K. Soundararajan},
journal= {arXiv preprint arXiv:1906.06413},
year = {2020}
}
备注
16 pages; to appear in the Philosophical Transactions of the Royal Society A. Proceedings of a conference in celebration of the 100th anniversary of Ramanujan's election to the Royal Society