Carries and a map on the space of rational functions

DOI10.1016/j.aam.2023.102600arXiv2306.05529MaRDI QIDQ6056553

Jason Fulman

Publication date: 30 October 2023

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.05529

zbMATH Keywords

Markov chainEulerian polynomialscarries

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Combinatorial probability (60C05)

Cites Work

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• The Veronese construction for formal power series and graded algebras
• Carries, shuffling, and symmetric functions
• A map on the space of rational functions
• Landen transformations and the integration of rational functions
• Carries, Shuffling, and an Amazing Matrix
• Carries, Combinatorics, and an Amazing Matrix
• Asymptotic prime-power divisibility of binomial, generalized binomial, and multinomial coefficients
• A Cohomological Viewpoint on Elementary School Arithmetic
• Carries, Group Theory, and Additive Combinatorics
• The Mathematics of Shuffling Cards

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