Two external problems for trigonometric polynomials
Sbornik. Mathematics, Tome 187 (1996) no. 11, pp. 1721-1736

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A trigonometric polynomial that is positive on a set of small measure is constructed. Several new inequalities in the geometry of numbers are proved using the properties of this polynomial.
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     author = {V. A. Yudin},
     title = {Two external problems for trigonometric polynomials},
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V. A. Yudin. Two external problems for trigonometric polynomials. Sbornik. Mathematics, Tome 187 (1996) no. 11, pp. 1721-1736. http://geodesic.mathdoc.fr/item/SM_1996_187_11_a5/