函数域上的二刁移原则

IF 0.6 4区数学 Q3 MATHEMATICS

Bulletin of the Australian Mathematical Society Pub Date : 2024-02-28 DOI:10.1017/s0004972724000029

SOURAV DAS, ARIJIT GANGULY

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引用次数: 0

摘要

我们研究的是函数域上的 Diophantine 转移原理。通过改编 Beresnevich 和 Velani 的方法['不均匀转移原理和 Diophantine 近似'，Proc.Lond.Math.(3)101 (2010)，821-851] 到函数域，我们将许多结果从同质扩展到非同质 Diophantine 近似。这也产生了函数场的非均质贝克-斯普林茹克猜想和一般非极端情形的上界。

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DIOPHANTINE TRANSFERENCE PRINCIPLE OVER FUNCTION FIELDS

We study the Diophantine transference principle over function fields. By adapting the approach of Beresnevich and Velani [‘An inhomogeneous transference principle and Diophantine approximation’, Proc. Lond. Math. Soc. (3)101 (2010), 821–851] to function fields, we extend many results from homogeneous to inhomogeneous Diophantine approximation. This also yields the inhomogeneous Baker–Sprindžuk conjecture over function fields and upper bounds for the general nonextremal scenario.

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来源期刊

Bulletin of the Australian Mathematical Society 数学-数学

CiteScore

1.20

自引率

14.30%

发文量

149

审稿时长

4-8 weeks

期刊介绍： Bulletin of the Australian Mathematical Society aims at quick publication of original research in all branches of mathematics. Papers are accepted only after peer review but editorial decisions on acceptance or otherwise are taken quickly, normally within a month of receipt of the paper. The Bulletin concentrates on presenting new and interesting results in a clear and attractive way. Published Bi-monthly Published for the Australian Mathematical Society