In:
Collectanea Mathematica, Springer Science and Business Media LLC, Vol. 72, No. 1 ( 2021-01), p. 87-107
Abstract:
We 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.
Type of Medium:
Online Resource
ISSN:
0010-0757
,
2038-4815
DOI:
10.1007/s13348-020-00281-7
Language:
English
Publisher:
Springer Science and Business Media LLC
Publication Date:
2021
detail.hit.zdb_id:
2044536-2
SSG:
17,1