对 "代数数域集合的判别式 "的更正

IF 0.5 3区数学 Q3 MATHEMATICS International Journal of Number Theory Pub Date : 2024-03-20 DOI:10.1142/s1793042124500489

Sudesh Kaur Khanduja

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引用次数: 0

摘要

我们指出[The discriminant of compositum of algebraic number fields, Int. J Number Theory15 (2019)] 中定理 1.1 的证明有误。J. Number Theory15 (2019) 353-360]中的定理 1.1 的证明有误。我们还证明了该定理的结果在附加假设的情况下成立。然而，该定理的结果在一般情况下是否成立还是一个悬而未决的问题。

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Corrigendum to “The discriminant of compositum of algebraic number fields”

We point out that there is an error in the proof of Theorem 1.1 in [The discriminant of compositum of algebraic number fields, Int. J. Number Theory15 (2019) 353–360]. We also prove that the result of this theorem holds with an additional hypothesis. However, it is an open problem whether the result of the theorem is true in general or not.

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来源期刊

International Journal of Number Theory 数学-数学

CiteScore

1.10

自引率

14.30%

发文量

审稿时长

4-8 weeks

期刊介绍： This journal publishes original research papers and review articles on all areas of Number Theory, including elementary number theory, analytic number theory, algebraic number theory, arithmetic algebraic geometry, geometry of numbers, diophantine equations, diophantine approximation, transcendental number theory, probabilistic number theory, modular forms, multiplicative number theory, additive number theory, partitions, and computational number theory.

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