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

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

2005-12-06

arxiv.org/abs/math/0512133v2

Rocky Mountain J. Math. 39 (2009), no. 3, 789--804

Mathematics

Number Theory

10 pages, revised version: to appear in Rocky Mountain Journal of Mathematics; minor editorial revisions, removed section 5 fo

Scientific paper

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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