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- W1713465087 abstract "In this paper, we show that various kinds of integer polynomials with prescribed properties of their roots have positive density. For example, we prove that almost all integer polynomials have exactly one or two roots with maximal modulus. We also show that for any positive integer $n$ and any set of $n$ distinct points symmetric with respect to the real line, there is a positive density of integer polynomials of degree $n$, height at most $H$ and Galois group $S_n$ whose roots are close to the given $n$ points." @default.
- W1713465087 created "2016-06-24" @default.
- W1713465087 creator A5024926560 @default.
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- W1713465087 date "2015-04-20" @default.
- W1713465087 modified "2023-10-17" @default.
- W1713465087 title "Positive density of integer polynomials with some prescribed properties" @default.
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- W1713465087 doi "https://doi.org/10.48550/arxiv.1504.05144" @default.
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