A factorial-ratio q-congruence for powers of an odd integer
Let n≡1 (mod4)n\equiv1\;\allowbreak(\operatorname{mod}4)n≡1(mod4) be an integer greater than 111, and let r,sr,sr,s be positive integers with r>sr>sr>s. For (a;q)k(a;q)_k(a;q)k the q-shifted factorial, the factorial…