Asymptotic growth of translation-dilation orbits

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-05-16 DOI:10.1016/j.aim.2025.110341

Victor Y. Wang

引用次数: 0

Abstract

By studying some Clausen-like multiple Dirichlet series, we complete the proof of Manin's conjecture for sufficiently split smooth equivariant compactifications of the translation-dilation group over the rationals. Secondary terms remain elusive in general.

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平移-膨胀轨道的渐近增长

通过研究一类类clausen - multiple Dirichlet级数，我们完成了有理上平移膨胀群的充分分裂光滑等变紧化的Manin猜想的证明。一般来说，二级术语仍然难以捉摸。

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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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.