Abstract
AbstractWe show that if $$f(u)\in {\mathbb {Z}}[u]$$
f
(
u
)
∈
Z
[
u
]
is a monic cubic polynomial, then for all but finitely many $$n\in {\mathbb {Z}}$$
n
∈
Z
the affine cubic surface $$f(u_{1})+f(u_{2})+f(u_{3})=n \subset {\mathbb {A}}^{3}_{{\mathbb {Z}}}$$
f
(
u
1
)
+
f
(
u
2
)
+
f
(
u
3
)
=
n
⊂
A
Z
3
has no integral Brauer-Manin obstruction to the Hasse principle.
Funder
Engineering and Physical Sciences Research Council
Publisher
Springer Science and Business Media LLC