Abstract
AbstractWe find a semi-algebraic description of the Minkowski sum $$\mathcal {A}_{3,n}$$
A
3
,
n
of n copies of the twisted cubic segment $$\{(t,t^2,t^3)\mid -1\le t\le 1\}$$
{
(
t
,
t
2
,
t
3
)
∣
-
1
≤
t
≤
1
}
for each integer $$n\ge 3$$
n
≥
3
. These descriptions provide efficient membership tests for the sets $$\mathcal {A}_{3,n}$$
A
3
,
n
. These membership tests in turn can be used to resolve some instances of the underdetermined matrix moment problem,
which was formulated by Michael Rubinstein and Peter Sarnak in order to study problems related to L-functions and their zeros.
Funder
Nederlandse Organisatie voor Wetenschappelijk Onderzoek
Deutsche Forschungsgemeinschaft
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Mathematics
Cited by
1 articles.
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