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Abstract:

We show that every set S ⊆[N]d occupying ⋘ pκ residue classes for some real number 0 ≤κ < d and every prime p, must essentially lie in the solution set of a polynomial equation of degree ⋘(log N)C, for some constant C depending only on κ and d. This provides the first structural result for arbitrary κ < d and S. © 2014 Springer Basel.

Registro:

Documento: Artículo
Título:The Algebraicity of Ill-Distributed Sets
Autor:Walsh, M.N.
Filiación:Departamento de Matemática, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Año:2014
Volumen:24
Número:3
Página de inicio:959
Página de fin:967
DOI: http://dx.doi.org/10.1007/s00039-014-0286-3
Título revista:Geometric and Functional Analysis
Título revista abreviado:Geom. Funct. Anal.
ISSN:1016443X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1016443X_v24_n3_p959_Walsh

Referencias:

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Citas:

---------- APA ----------
(2014) . The Algebraicity of Ill-Distributed Sets. Geometric and Functional Analysis, 24(3), 959-967.
http://dx.doi.org/10.1007/s00039-014-0286-3
---------- CHICAGO ----------
Walsh, M.N. "The Algebraicity of Ill-Distributed Sets" . Geometric and Functional Analysis 24, no. 3 (2014) : 959-967.
http://dx.doi.org/10.1007/s00039-014-0286-3
---------- MLA ----------
Walsh, M.N. "The Algebraicity of Ill-Distributed Sets" . Geometric and Functional Analysis, vol. 24, no. 3, 2014, pp. 959-967.
http://dx.doi.org/10.1007/s00039-014-0286-3
---------- VANCOUVER ----------
Walsh, M.N. The Algebraicity of Ill-Distributed Sets. Geom. Funct. Anal. 2014;24(3):959-967.
http://dx.doi.org/10.1007/s00039-014-0286-3