On the Divisibility a! + b! | (a + b)!

DOI10.1080/00029890.2022.2010495zbMath1501.11034OpenAlexW4210519111MaRDI QIDQ5067480

Ayan Nath

Publication date: 1 April 2022

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2022.2010495

zbMATH Keywords

Fibonacci numbersdivisibilityfactorials

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Polynomials in number theory (11C08) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• Unnamed Item
• The order of appearance of factorials in the Fibonacci sequence and certain Diophantine equations
• ON VALUES OF d(n!)/m!, ϕ(n!)/m! AND σ(n!)/m!
• Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x)
• Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x). II
• On two theorems of Gelfond and some of their applications

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