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arXiv · 2309.07626

Asymptotic growth of translation-dilation orbits

Victor Y. Wang
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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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Victor Y. Wang. 2023-09-14. Asymptotic growth of translation-dilation orbits. https://doi.org/10.1016/j.aim.2025.110341

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