On polynomials with only rational roots

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematika Pub Date : 2023-06-09 DOI:10.1112/mtk.12209

Lajos Hajdu, Robert Tijdeman, Nóra Varga

引用次数: 0

Abstract

In this paper, we study upper bounds for the degrees of polynomials with only rational roots. First, we assume that the coefficients are bounded. In the second theorem, we suppose that the primes 2 and 3 do not divide any coefficient. The third theorem concerns the case that all coefficients are composed of primes from a fixed finite set.

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关于只有有理根的多项式

在本文中，我们研究了只有有理根的多项式的次数的上界。首先，我们假设系数是有界的。在第二个定理中，我们假设素数2和3不除任何系数。第三个定理涉及所有系数都由来自固定有限集的素数组成的情况。

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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来源期刊

Mathematika MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematika publishes both pure and applied mathematical articles and has done so continuously since its founding by Harold Davenport in the 1950s. The traditional emphasis has been towards the purer side of mathematics but applied mathematics and articles addressing both aspects are equally welcome. The journal is published by the London Mathematical Society, on behalf of its owner University College London, and will continue to publish research papers of the highest mathematical quality.