On the growth of multi-recurrences
Clemens Fuchs, Sebastian Heintze
TL;DR
This paper provides a complete proof for a previously stated bound on the growth of multi-recurrences over number fields, clarifying and solidifying a result from four decades ago.
Contribution
It offers a rigorous proof of a classical bound on multi-recurrences, which was previously only stated without a complete proof.
Findings
Established a complete proof for the growth bound of multi-recurrences
Confirmed the bound applies to multi-recurrences over number fields
Clarified the historical result by van der Poorten and Schlickewei
Abstract
In this paper we provide a complete proof for a bound on the growth of multi-recurrences which are defined over a number field. The proven bound was already stated by van der Poorten and Schlickewei forty years ago.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Stochastic processes and statistical mechanics · Limits and Structures in Graph Theory