Congruence Identities Arising From Dynamical Systems
Bau-Sen Du
TL;DR
This paper derives new number theory congruence identities by analyzing the periodic points of certain interval maps in dynamical systems.
Contribution
It introduces a novel connection between dynamical systems and number theory through counting periodic points.
Findings
Infinite new congruence identities in number theory
Method linking interval maps to number theoretic properties
Extension of known identities via dynamical analysis
Abstract
By counting the numbers of periodic points of all periods for some interval maps, we obtain infinitely many new congruence identities in number theory.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Mathematical Dynamics and Fractals · Chaos control and synchronization