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- W4226419997 abstract "We consider multivariable polynomials over a fixed number field, linear in some of the variables. For a system of such polynomials satisfying certain technical conditions we prove the existence of search bounds for simultaneous zeros with respect to height. For a single such polynomial, we prove the existence of search bounds with respect to height for zeros lying outside of a prescribed algebraic set. We also obtain search bounds in the case of homogeneous multilinear polynomials, which are related to a so-called sparse version of Siegel's lemma. Among the tools we develop are height inequalities that are of some independent interest." @default.
- W4226419997 created "2022-05-05" @default.
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- W4226419997 date "2022-02-11" @default.
- W4226419997 modified "2023-09-25" @default.
- W4226419997 title "On zeros of multilinear polynomials" @default.
- W4226419997 doi "https://doi.org/10.48550/arxiv.2202.05916" @default.
- W4226419997 hasPublicationYear "2022" @default.
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