M. Siegel

activity

20192026

most citedConservation of Singularities in Functional Equations Associated to Collatz-Type Dynamical Systems; or, Dreamcatchers for Hydra Maps

2 citations · 2 across the 10 of their papers we have counts for

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Showing 2021Show all

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math.NT2021

The Collatz Conjecture & Non-Archimedean Spectral Theory -- Part I.5 -- How To Write The (Weak) Collatz Conjecture As A Contour Integral

M. C. Siegel

Let $q$ be an odd prime, and let $T_{q} : Z \to Z$ be the Shortened $q x + 1$ map, defined by $T_{q} (n) = n /2$ if $n$ is even and $T_{q}\left(n\right)=\…

math.NT2021

Functional Equations Associated to Collatz-Type Maps on Integer Rings of Algebraic Number Fields

M. C. Siegel

In 1995, Meinardus & Berg presented a reformulation of the Collatz Conjecture in terms of a functional equation in a single complex variable over the open unit disk. This paper gen…