与Komornik多项式相连的丢番图方程

IF 0.5 4区数学 Q3 MATHEMATICS Glasnik Matematicki Pub Date : 2020-06-12 DOI:10.3336/gm.55.1.02

A. Bazsó, A. Bérczes, Ondřej Kolouch, I. Pink, J. Šustek

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引用次数: 0

摘要

我们研究了n∈n时多项式Pn(X) =∏n k=0 (X2·3k−X3 k−1)的幂次和多项式值。我们证明了各种无效和有效的有限性结果。在0≤n≤3的情况下，我们确定所有的整数对x, y使Pn(x) = y2或Pn(x) = y3。

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Diophantine equations connected to the Komornik polynomials

We investigate the power and polynomial values of the polynomials Pn(X) = ∏ n k=0 ( X2·3 k − X3 k − 1 ) for n ∈ N. We prove various ineffective and effective finiteness results. In the case 0 ≤ n ≤ 3, we determine all pairs x, y of integers such that Pn(x) = y2 or Pn(x) = y3.

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来源期刊

Glasnik Matematicki MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Glasnik Matematicki publishes original research papers from all fields of pure and applied mathematics. The journal is published semiannually, in June and in December.

期刊最新文献

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