论文标题
($ q $ - )超级企业再次击中
($q$-)Supercongruences hit again
论文作者
论文摘要
使用固有的$ q $ - hyphemetric策略,我们将dwork类型归一致$ h(p^{s+1})/h(p^s)\ equiv h(p^s)/h(p^{s-1})\ pmod {p^3} $ for $ s = 1,2,对应于刚性calabi-yau三倍的时期的总和。
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.