Asymptotic growth of translation-dilation orbits
Number Theory
2025-05-19 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.2309.07626,
title = {Asymptotic growth of translation-dilation orbits},
author = {Victor Y. Wang},
journal= {arXiv preprint arXiv:2309.07626},
year = {2025}
}
Comments
52 pages; final version