A Dwork-type q-supercongruence for n congruent to 1 modulo 4
Let n≡1(mod4)n\equiv 1\pmod{4}n≡1(mod4) be a positive integer and let r⩾1r\geqslant 1r⩾1. Write (a;q)k(a;q)_k(a;q)k for the qqq-shifted factorial, [m]=(1−qm)/(1−q)[m]=(1-q^m)/(1-q)[m]=(1−qm)/(1−q), and let Φm(q)\Phi_m(q)Φm(q) denote the mmmth cyclo…