有限次原始序列的和

Mathematica Montisnigri Pub Date : 1900-01-01 DOI:10.20948/mathmontis-2022-53-4

Ilias Laib, Nadir Rezzoug

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引用次数: 0

摘要

如果一个严格正整数序列的每一项都不能被其他项相除，我们就说它是原始的;如果用多重性来计算它的每一项的素数因子的数目是恒定的，我们就说它是齐次的。本文构造了阶为d的原始序列A，对其平移和的Erdős类似猜想不成立。

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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On a sum over primitive sequences of finite degree

A sequence of strictly positive integers is said to be primitive if none of its terms divides the others and is said to be homogeneous if the number of prime factors of its terms counted with multiplicity is constant. In this paper, we construct primitive sequences A of degree d, for which the Erdős’s analogous conjecture for translated sums is not satisfied.

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Mathematica Montisnigri

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