2 papers
math.NT2026
Two -congruences from Jackson's summation and Andrews' summation
Ji-Cai Liu, Qing-Yuan Tao
We prove two -congruence conjectures of Guo on truncated basic hypergeometric series. The first result strengthens a congruence obtained from Jackson's terminating very-well-poi…
math.NT2026
Proofs of two -congruence conjectures of Guo
Ji-Cai Liu, Qing-Yuan Tao
We prove two conjectural -congruences proposed by Guo. The first is Conjecture 7.2 in Guo's work on -analogues of two ``divergent'' Ramanujan-type supercongruences; it assert…