Representations of integers by an invariant polynomial and unipotent flows

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72631We 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.Number TheoryDynamical Systems11D45 (Primary) 37A45 (Secondary)Representations of integers by an invariant polynomial and unipotent flowstext