($q$-)Supercongruences hit again

Abstract

Using an intrinsic $q$-hypergeometric strategy, we generalise Dwork-type congruences $H(p^{s+1})/H(p^s)\equiv H(p^s)/H(p^{s-1})(\mathrm{mod}{p}^3)$ 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.

12 pages

References in corpus (1)

• Some new $q$-congruences for truncated basic hypergeometric series