A q-Digital Binomial Theorem

2015/06/26 by Toufik Mansour, Mansour, Toufik, Hiêú D. Nguyêñ +2
Computer Science · Mathematics · #11 #Coding theory and cryptography #Digital Image Processing Techniques #FOS: Mathematics #Interconnection Networks and Systems #Number Theory (math.NT) #math.NT #msc:11

paper · pdf · doi:10.48550/arxiv.1506.07945

7 pages

arxiv created 2015/06/26 · openalex publication_date 2015/06/26 · arxiv updated 2015/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a multivariable generalization of the digital binomial theorem from which a q-analog is derived as a special case.

Related

• A Digital Binomial Theorem
• Multiple analogues of binomial coefficients and related families of special numbers
• q-Bernoulli Inequality
• q-Analogue of Gauss' Divisibility Theorem
• Notes on q-analogues of a binomial congruence of Glaisher