(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.
Volume: Volume 43 - Special Commemorative volume in honour of Srinivasa Ramanujan - 2020
Published on: May 6, 2021
Accepted on: May 6, 2021
Submitted on: April 30, 2021
Keywords: 2010 Mathematics Subject Classification. 11A07, 11B65, 11F33, 33C20, 33D15, [MATH]Mathematics [math], [en] Hypergeometric sum, Ramanujan's mathematics, supercongruence, q-congruence, creative microscoping, modular form, rigid Calabi-Yau threefold