On products of polynomials II

Masser, David; Wise, Andrew

doi:10.1090/proc/16428

On products of polynomials II
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by David Masser and Andrew Wise;

Proc. Amer. Math. Soc. 151 (2023), 3743-3750

DOI: https://doi.org/10.1090/proc/16428

Published electronically: May 25, 2023

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Abstract:

We show that if two complex quadratic polynomials in a single variable each have a coefficient 1, then their product must have a coefficient with absolute value at least $(\sqrt {13}-3)/2$. This is best possible. There is a more natural and classical formulation using heights. We also present some speculations about higher degree involving Littlewood polynomials.

References

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