Gaussian binomial coefficients modulo cyclotomic polynomials

DOI10.1016/j.jnt.2016.04.005zbMath1396.11004OpenAlexW2409320058MaRDI QIDQ301427

Yan Li, Lianrong Ma, Daeyeoul Kim

Publication date: 30 June 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.04.005

zbMATH Keywords

\(q\)-seriescyclotomic polynomialscongruencebinomial coefficientsGaussian binomial coefficients

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07)

Cites Work

• A \(q\)-rious positivity
• On divisibility of sums of Apéry polynomials
• An analogue of Kummer congruences for \(q\)-Euler numbers
• Congruence properties of \(q\)-analogs
• q-ANALOGUES OF WILSON'S THEOREM
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