Some supercongruences of arbitrary length
Publication date
2022-09
Authors
Beukers, Frits
Delaygue, Eric
Editors
Advisors
Supervisors
Document Type
Article
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Abstract
We prove supercongruences modulo p2 for values of truncated hypergeometric series at some special points. The parameters of the hypergeometric series are d copies of 1/2 and d copies of 1 for any integer d≥2. In addition we describe their relation to hypergeometric motives.
Keywords
Hypergeometric series, Super congruence, Unit root, Zeta function, General Mathematics
Citation
Beukers, F & Delaygue, E 2022, 'Some supercongruences of arbitrary length', Indagationes Mathematicae, vol. 33, no. 5, pp. 946-955. https://doi.org/10.1016/j.indag.2022.04.002