Zeta functions of discrete self-similar sets

DOI10.1016/J.AIM.2012.09.011zbMath1310.11096OpenAlexW1988835536MaRDI QIDQ1929193

Driss Essouabri, Ben Lichtin

Publication date: 7 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.aim.2012.09.011

zbMATH Keywords

Hausdorff dimensionmeromorphic continuationfractalszeta functionsErdős distance problemArnold sailself-similar discrete sets

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Fractals (28A80)

Related Items (4)

Zeta functions and solutions of Falconer-type problems for self-similar subsets of ℤⁿ ⋮ Complex dimensions of fractals and meromorphic extensions of fractal zeta functions ⋮ Distance and tube zeta functions of fractals and arbitrary compact sets ⋮ An overview of complex fractal dimensions: from fractal strings to fractal drums, and back

This page was built for publication: Zeta functions of discrete self-similar sets