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arXiv · 2603.21080

Effective count of integer points on ternary affine quadrics and effective equidistribution

Runlin Zhang
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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.

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Runlin Zhang. 2026-03-22. Effective count of integer points on ternary affine quadrics and effective equidistribution. https://arxiv.org/abs/2603.21080

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