Search Bounds for Zeros of Polynomials Over the Algebraic Closure of Q

Authors

Lenny Fukshansky, Claremont McKenna CollegeFollow

Document Type

Article

Department

Mathematics (CMC)

Publication Date

2009

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.

Comments

Please note that the complete text is also available at http://rmmc.asu.edu/rmj/rmjVOLS/rmjVOLS.html

Rights Information

© 2009 Rocky Mountain Mathematics Consortium

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

DOI

10.1216/RMJ-2009-39-3-789

Recommended Citation

Fukshansky, Lenny. "Search Bounds for Zeros of Polynomials over the Algebraic Closure of Q." Rocky Mountain Journal of Mathematics 39.3 (2009): 789-804. doi: 10.1216/RMJ-2009-39-3-789