Factors of Some Lacunary q-Binomial Sums

2012/01/28 by Hao Pan, Pan, Hao
Computer Science · Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #math.CO #math.NT

paper · pdf · doi:10.48550/arxiv.1201.5963

openalex publication_date 2012/01/28 · arxiv created 2012/06/03 · arxiv updated 2012/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove a divisibility result for the lacunary q-binomial sum ∑_k≡ r\pmodc(-1)^kq^\binomk2\qbinomnkq\qbinom(k-r)/clq^c.

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