On Lehmer's question for integer-valued polynomials
Berend Ringeling
TL;DR
This paper addresses a Lehmer-type question concerning the Mahler measure of integer-valued polynomials, providing a solution to a longstanding problem in number theory.
Contribution
It offers a novel resolution to Lehmer's question specifically for the Mahler measure of integer-valued polynomials, advancing understanding in algebraic number theory.
Findings
Resolved Lehmer's question for integer-valued polynomials
Established bounds or properties of Mahler measures in this context
Contributed to the theory of algebraic integers and polynomial measures
Abstract
We solve a Lehmer-type question about the Mahler measure of integer-valued polynomials.
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Taxonomy
TopicsFunctional Equations Stability Results · Mathematical Dynamics and Fractals · advanced mathematical theories