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arXiv · 2011.12084

($q$-)Supercongruences hit again

Wadim Zudilin
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Abstract

Using an intrinsic $q$-hypergeometric strategy, we generalise Dwork-type congruences $H(p^{s+1})/H(p^s)\equiv H(p^s)/H(p^{s-1})\pmod{p^3}$ for $s=1,2,\dots$ and $p$ a prime, when $H(N)$ are truncated hypergeometric sums corresponding to the periods of rigid Calabi--Yau threefolds.

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Wadim Zudilin. 2020-11-24. ($q$-)Supercongruences hit again. https://doi.org/10.46298/hrj.2021.7427

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