Notes on q-analogues of a binomial congruence of Glaisher

2013/01/21 by Bo Ning, Ning, Bo
Mathematics · #11B65 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #Primary 05A10 #Secondary 11A07 #math.CO #math.NT #msc:05A10 #msc:11A07 #msc:11B65

paper · pdf · doi:10.48550/arxiv.1301.4888

openalex publication_date 2013/01/21 · arxiv created 2013/01/31 · arxiv updated 2013/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Andrews once gave q-analogues of a binomial congruence of Glaisher, and he suggested perfect q-analogues. In this note we give ones meeting the demand of Andrews.

Citations

• A q-analog of Ljunggren's binomial congruence

Related

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• A q-analog of Ljunggren's binomial congruence
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• An inductive proof of Straub's q-analogue of Ljunggren's congruence
• A q-analogue of Wolstenholme's harmonic series congruence