We establish a q-analogue of Sun–Zhao's congruence on harmonic sums. Based on this q-
congruence and a q-series identity, we prove a congruence conjecture on sums of central q …

Several new q-supercongruences are obtained using transformation formulas for basic
hypergeometric series, together with various techniques such as suitably combining terms …

With the help of the creative microscoping method recently introduced by Guo and Zudilin
and the Chinese remainder theorem for coprime polynomials, we establish a q …

Abstract Recently, Jana and Kalita proved the following supercongruences involving rising
factorials (1 d) _k^ 3 (1 d) k 3: & ∑ _ k= 0^ N (-1)^ k (2dk+ 1)(1 d) _k^ 3 k!^ 3\&\quad ≡\left …

Motivated by Zudilin's work, we give a q-analogue of a Ramanujan-type supercongruence of
van Hamme and Mortenson via the q-WZ method. Meanwhile, we give a q-analogue of a …

In terms of a q-analogue of Whipple's F 2 3 summation formula, the creative microscoping
method recently introduced by Guo and Zudilin, and the Chinese remainder theorem for …

Inspired by the recent work of Guo and Zudilin, we establish several results on q-
supercongruences by using aq-analogue of Watson's 3 F 2 summation formula. In particular …

Based on a q-congruence of the author and Petrov, we set up a q-analogue of Sun–
Tauraso's congruence for sums of Catalan numbers, which extends a q-congruence due to …

Motivated by Zudilin's work, we give q-analogues of the Ramanujan-type supercongruences
(E. 2) and (F. 2) of Van Hamme. Our proof utilizes the q-WZ method and properties of …

arXiv:1201.6152v1 [math.NT] 30 Jan 2012 Page 1 arXiv:1201.6152v1 [math.NT] 30 Jan 2012
SOME q-ANALOGS OF CONGRUENCES FOR CENTRAL BINOMIAL SUMS ROBERTO …