A congruence involving products of q-binomial coefficients

2005/08/22 by Hao Pan, Pan, Hao, Hui-Qin Cao +1 · 1 citation
Mathematics · #05A10 #05A30 #11A07 #11B65 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #math.CO #math.NT #msc:05A10 #msc:05A30 #msc:11A07 #msc:11B65

paper · pdf · doi:10.48550/arxiv.math/0508409

9 pages

arxiv created 2005/08/27 · arxiv updated 2009/12/01

Abstract

In this paper we establish a q-analogue of a congruence of Sun concerning the products of binomial coefficients modulo the square of a prime.

Cited by

• q-Congruences for Z.-W. Sun's generalized polynomials w^(α)_k(x)

Related

• Some q-congruences involving central q-binomial coefficients
• Elementary proof of congruences involving sum of binomial coefficients
• Congruences for certain lacunary sums of products of binomial coefficients
• Proof of a congruence on sums of powers of q-binomial coefficients
• A congruence involving the quotients of Euler and its applications (III)