SUBSTITUTIONS GENERATING THE FRACTAL MATRICES OF THE p-ADIC VALUATION OF THE BINOMIAL AND LEGENDRE-POLYNOMIAL COEFFICIENTS

DOI10.1142/S0218348X09004600zbMath1183.28010OpenAlexW2166052044MaRDI QIDQ5189995

André M. Barbé, Gencho Skordev

Publication date: 11 March 2010

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x09004600

zbMATH Keywords

polynomial sequencesPascal's triangledivisibility by prime powersfractal matricesKummer lemmamatrix substitutionp-adic number representationstiling substitutions

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (1)

A cellular automaton ruled by an eccentric conservation law

Cites Work

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• Divisibility - with visibility
• On the fractal structure of the rescaled evolution set of Carlitz sequences of polynomials
• Congruence properties of the polynomials of Hermite, Laguerre and Legendre
• FRACTALS BY NUMBERS
• ON A CLASS OF FRACTAL MATRICES (I) EXCESS-MATRICES AND THEIR SELF-SIMILAR PROPERTIES
• Visible Structures in Number Theory
• Automatic Sequences

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