Some 3-adic congruences for binomial sums

2012/03/13 by Yong Zhang, Hao Pan, Zhang, Yong +1
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #math.CO #math.NT

paper · pdf · doi:10.48550/arxiv.1203.2823

This is a preliminary draft

arxiv created 2012/03/13 · arxiv updated 2012/03/14

Abstract

We prove some 3-adic congruences for binomial sums, which were conjectured by Sun.

Related

• Proof of Sun's conjecture on the divisibility of certain binomial sums
• Some q-congruences related to 3-adic valuations
• Congruences Related to Dual Sequences and Catalan Numbers
• Congruences for sums involving products of three binomial coefficients
• Proof of two congruence conjectures of Z.-W. Sun