Abstract
We find a semi-algebraic description of the Minkowski sum mathcal {A}_{3,n} of n copies of the twisted cubic segment {(t,t^2,t^3)mid -1le tle 1} for each integer nge 3. These descriptions provide efficient membership tests for the sets mathcal {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.
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