在一般数字字段中接近miss $abc$-三元组

IF 0.5 4区数学 Q3 MATHEMATICS

Hiroshima Mathematical Journal Pub Date : 2019-03-25 DOI:10.32917/HMJ/1564106548

Y. Kawaguchi

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引用次数: 0

摘要

摘要。Masser和其他人构造了“近错过”abc三元组序列，即相对素数有理整数的三元组ð a;b;c Þ渐近地接近于违反abc猜想中的不等式。在本文中，我们给出了对任意数域的马斯特结果的各种部分推广。

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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Near miss $abc$-triples in general number fields

A bstract . Masser and others have constructed sequences of ‘‘near miss’’ abc -triples, i.e., triples of relatively prime rational integers ð a ; b ; c Þ that asymptotically come close to violating the inequality that appears in the abc Conjecture. In the present paper, we show various partial generalizations of Masser’s result to arbitrary number ﬁelds.

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来源期刊

Hiroshima Mathematical Journal 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Hiroshima Mathematical Journal (HMJ) is a continuation of Journal of Science of the Hiroshima University, Series A, Vol. 1 - 24 (1930 - 1960), and Journal of Science of the Hiroshima University, Series A - I , Vol. 25 - 34 (1961 - 1970). Starting with Volume 4 (1974), each volume of HMJ consists of three numbers annually. This journal publishes original papers in pure and applied mathematics. HMJ is an (electronically) open access journal from Volume 36, Number 1.