On two supercongruences of double binomial sums

2019/12/03 by Long Li, Li, Long, Ji-Cai Liu +1
Mathematics · #05A19 #11A07 #11B65 #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1912.01445

openalex publication_date 2019/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we confirm two conjectural supercongruences on double sums of binomial coefficients due to El Bachraoui.

Citations

• A q-microscope for supercongruences

Related

• Some q-supercongruences on double and triple sums
• Supercongruences involving Apéry-like numbers and Bernoulli numbers
• q-Supercongruences on triple and quadruple sums
• Double sums associated with binomial transforms
• Some Double Sums Involving Ratios of Binomial Coefficients Arising From Urn Models