Affiliation:
1. School of Mathematics , [ 26494]Hangzhou Normal University, Hangzhou 311121 , P. R. China
Abstract
Abstract
We give some q-supercongruences from a q-analogue of Watson’s
F
2
3
{{}_{3}F_{2}}
summation
and the method of “creative microscoping”, introduced by the author and Zudilin.
These q-supercongruences may be considered as further generalizations of the (A.2) supercongruence of Van Hamme modulo
p
3
{p^{3}}
or
p
2
{p^{2}}
for any odd prime p. Meanwhile, we confirm a supercongruence conjecture of Wang and Yue through establishing its q-analogue.