hrj:7427 -
Hardy-Ramanujan Journal,
May 6, 2021,
Volume 43 - Special Commemorative volume in honour of Srinivasa Ramanujan - 2020
-
https://doi.org/10.46298/hrj.2021.7427
(q-)Supercongruences hit againArticle
Authors: Wadim Zudilin 1
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Wadim Zudilin
1 Department of Mathematics and Computer Science, TUE (Eindhoven) and IMAPP, Nijmegen
Using an intrinsic q-hypergeometric strategy, we generalise Dwork-type congruences H(p^{s+1})/H(p^s) ≡ H(p^s)/H(p^{s−1}) (mod p 3) for s = 1, 2,. .. and p a prime, when H(N) are truncated hypergeometric sums corresponding to the periods of rigid Calabi-Yau threefolds.