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Search bounds for zeros of polynomials over the algebraic closure of Q

Lenny Fukshansky
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Abstract

We discuss existence of explicit search bounds for zeros of polynomials with coefficients in a number field. Our main result is a theorem about the existence of polynomial zeros of small height over the field of algebraic numbers outside of unions of subspaces. All bounds on the height are explicit.

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Lenny Fukshansky. 2006-10-06. Search bounds for zeros of polynomials over the algebraic closure of Q. https://arxiv.org/abs/math/0512133

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