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Representations of integers by an invariant polynomial and unipotent flows

Alex Eskin·Hee Oh
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Abstract

We study a refined version of the Linnik problem on the asymptotic behavior of the number of representations of integer $m$ by an integral polynomial as $m$ tends to infinity. We assume that the polynomial arises from invariant theory, and use methods from the theory of unipotent flows.

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Alex Eskin, Hee Oh. 2004-09-27. Representations of integers by an invariant polynomial and unipotent flows. https://arxiv.org/abs/math/0409506

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