关于多项式的模a素数的根分布的注意事项

Uniform distribution theory Pub Date : 2017-12-20 DOI:10.1515/udt-2017-0017

Y. Kitaoka

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引用次数: 9

摘要

摘要设f(x)是Z[x]中具有根α1，…，αn的一元多项式。指出了α1、α1、α和α之间的线性关系的重要性。， αn /有理数关于f模a '的局部根的分布。在某种意义上，我们将其表述为一个推测的均匀分布，这说明了以前文献中的数据。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Notes on the Distribution of Roots Modulo a Prime of a Polynomial

Abstract Let f(x) be a monic polynomial in Z[x] with roots α1, . . ., αn. We point out the importance of linear relations among 1, α1, . . . , αn over rationals with respect to the distribution of local roots of f modulo a prime. We formulate it as a conjectural uniform distribution in some sense, which elucidates data in previous papers.

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Uniform distribution theory

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