ON A CONJECTURE OF MCINTOSH REGARDING LP-SEQUENCES

DOI10.1142/S1793042107001139zbMath1165.11021OpenAlexW2090500264WikidataQ123278297 ScholiaQ123278297MaRDI QIDQ3519929

Yossi Moshe

Publication date: 19 August 2008

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

Full work available at URL: https://doi.org/10.1142/s1793042107001139

zbMATH Keywords

congruencesbinomial coefficientsLucas propertyMcIntosh's conjecturestrongly \(p\)-multiplicative sequences

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Sequences (mod (m)) (11B50)

Cites Work

• The distribution of the binomial coefficients modulo \(p\)
• Ensembles presque périodiques \(k\)-reconnaissables. (Almost periodic \(k\)-recognizable sets)
• Transcendence of binomial and Lucas' formal power series
• Transcendence of formal power series with rational coefficients
• Distribution of multinomial and \(q\)-binomial coefficients modulo \(p\)
• On some questions of Razpet regarding binomial coefficients
• Schur congruences, Carlitz sequences of polynomials and automaticity
• Les suites à spectre vide et la répartition modulo 1
• A Generalization of a Congruential Property of Lucas
• Automatic Sequences
• Binomial Coefficients Modulo a Prime

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