Representations of integers by an invariant polynomial and unipotent flows

Details Representations of integers by an invariant polynomial and unipotent flows Representations of integers by an invariant polynomial and unipotent flows

2004-09-27

arxiv.org/abs/math/0409506v1

Mathematics

Number Theory

Scientific paper

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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