A discrete fractal in \(\mathbb Z\) related to Pascal's triangle modulo 2

DOI10.1007/s00605-012-0394-9zbMath1309.28008OpenAlexW2462410941MaRDI QIDQ1934263

Kevin D. Adams, Nicholas G. Foil, Thomas M. Lewis, Alexander Rice

Publication date: 28 January 2013

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-012-0394-9

zbMATH Keywords

self-similarityHausdorff dimensionpacking dimensionFibonacci numbersbinomial coefficientsfractalPascal's triangleKummer's theorem

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Fractals (28A80) Hausdorff and packing measures (28A78)

Cites Work

• On Binomial Coefficient Residues
• Geometry of Binomial Coefficients
• Defining Fractal Subsets of Z ^d
• Fractional dimension of sets in discrete spaces
• A Discrete Fractal in ℤ 1 +
• Asymptotic prime-power divisibility of binomial, generalized binomial, and multinomial coefficients
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