The Collatz conjecture \& non-Archimedean spectral theory. I: Arithmetic dynamical systems and non-Archimedean value distribution theory

DOI10.1134/s2070046624020055MaRDI QIDQ6576987

M. C. Siegel

Publication date: 23 July 2024

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

zbMATH Keywords

\(p\)-adic numbersarithmetic dynamics\(p\)-adic analysisCollatz conjectureultrametric analysis\(3x+1\) map\(5x+1\) mapHydra mapnumen

Mathematics Subject Classification ID

Recurrences (11B37) Special sequences and polynomials (11B83) Non-Archimedean dynamical systems (11S82) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05)

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