Effective count of integer points on ternary affine quadrics and effective equidistribution
Number Theory
2026-03-24 v1 Dynamical Systems
Abstract
We study the effective equidistribution of certain infinite homogeneous measures and related counting problems through mixing. In this way, we obtain smooth versions of counting theorems studied by Oh-Shah and later by Kelmer-Kontorovich over a number field. In the appendix, we apply the meromorphic continuation of Hilbert-Asai Eisenstein series to obtain the authentic counting.
Keywords
Cite
@article{arxiv.2603.21080,
title = {Effective count of integer points on ternary affine quadrics and effective equidistribution},
author = {Runlin Zhang},
journal= {arXiv preprint arXiv:2603.21080},
year = {2026}
}
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32 pages