\(p\)-adic fractal strings of arbitrary rational dimensions and Cantor strings

DOI10.1134/S2070046621030043zbMath1485.11138arXiv2012.11535OpenAlexW3197171549MaRDI QIDQ2062353

Michel L. Lapidus, Lũ' Hùng, Machiel van Frankenhuijsen

Publication date: 27 December 2021

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.11535

zbMATH Keywords

zeta functionsnumber theoryfractal geometry\(p\)-adic analysiscomplex dimensionsfractal stringsadelic CantorCantor-SmithEuler and Euler-Riemann stringsMinkowski dimension and content

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Other Dirichlet series and zeta functions (11M41) Fractals (28A80) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

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