Supercongruences arising from hypergeometric series identities

Ji-Cai Liu

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arXiv · 1812.09101

Supercongruences arising from hypergeometric series identities

Ji-Cai Liu

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Abstract

By using some hypergeometric series identities, we prove two supercongruences on truncated hypergeometric series, one of which is related to a modular Calabi--Yau threefold, and the other is regarded as $p$-adic analogue of an identity due to Ramanujan.

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Ji-Cai Liu. 2018-12-21. Supercongruences arising from hypergeometric series identities. https://arxiv.org/abs/1812.09101

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