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arXiv · 2603.14981

Arithmetic Constraints on Hypergeometric Identities

Katsunori Iwasaki·Mina Kusakabe
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Abstract

The standard literature on special functions contains a lot of hypergeometric identities involving products and quotients of gamma functions, but still the occurrence of such identities is a sporadic phenomenon. This is because the existence of them is constrained by severe arithmetic conditions. We demonstrate this kind of constraints by focusing on a certain data region where the essential nature of the issue comes out clearly.

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BibTeXRIS

Katsunori Iwasaki, Mina Kusakabe. 2026-03-16. Arithmetic Constraints on Hypergeometric Identities. https://arxiv.org/abs/2603.14981

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