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Integral points on symmetric affine cubic surfaces (2204.13472v2)
Published 28 Apr 2022 in math.NT
Abstract: We show that if $f(u)\in \mathbb{Z}[u]$ is a monic cubic polynomial, then for all but finitely many $n\in \mathbb{Z}$ the affine cubic surface $f(u_{1})+f(u_{2})+f(u_{3})=n \subset \mathbb{A}{3}_{\mathbb{Z}}$ has no integral Brauer-Manin obstruction to the Hasse principle.
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