Semi-algebraic properties of Minkowski sums of a twisted cubic segment
Abstract
We find a semi-algebraic description of the Minkowski sum A3,n of n copies of the bounded twisted cubic \(t,t2,t3) -1≤ t≤ 1\ for each integer n≥3. These descriptions provide efficient membership tests for the sets A3,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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