Affiliation:
1. Department of Mathematics , Shanghai University ; and Newtouch Center for Mathematics of Shanghai University , Shanghai , 200444 , China
Abstract
Abstract
We prove two single-parameter q-supercongruences which were recently conjectured by Guo, and establish their further extensions with one more parameter. Crucial ingredients in the proof are the terminating form of the q-binomial theorem, a Karlsson–Minton-type summation formula due to Gasper, and the method of “creative microscoping” developed by Guo and Zudilin. Incidentally, an assertion of Li, Tang and Wang is also confirmed by establishing its q-analogue.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Shanghai
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