On products of polynomials ii
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY(2023)
摘要
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 (root 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.
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关键词
Polynomials, heights
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