The second author was supported by the NSF DMS Award 1723016, by the RTG in Algebraic Geometry, Algebra, and Number Theory at the University of Georgia, and by the NSF RTG grant DMS-1344994. The third author was supported by the Austrian Science Fund FWF Project F5511-N26, which is part of the Special Research Program “Quasi-Monte Carlo Methods: Theory and Applications” as well as by the Austrian Science Fund FWF Project P 30405-N32.
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k
‐point configuration sets with nonempty interior”, Mathematika, 68:1 (2022), 163
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Л. М. Арутюнян, “О росте количества определителей с элементами
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