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Estimates for the number of rational points on convex curves and surfaces. / Petrov, F. V.

в: Journal of Mathematical Sciences , Том 147, № 6, 01.12.2007, стр. 7218-7226.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Petrov, FV 2007, 'Estimates for the number of rational points on convex curves and surfaces', Journal of Mathematical Sciences , Том. 147, № 6, стр. 7218-7226. https://doi.org/10.1007/s10958-007-0538-y

APA

Petrov, F. V. (2007). Estimates for the number of rational points on convex curves and surfaces. Journal of Mathematical Sciences , 147(6), 7218-7226. https://doi.org/10.1007/s10958-007-0538-y

Vancouver

Petrov FV. Estimates for the number of rational points on convex curves and surfaces. Journal of Mathematical Sciences . 2007 Дек. 1;147(6):7218-7226. https://doi.org/10.1007/s10958-007-0538-y

Author

Petrov, F. V. / Estimates for the number of rational points on convex curves and surfaces. в: Journal of Mathematical Sciences . 2007 ; Том 147, № 6. стр. 7218-7226.

BibTeX

@article{fa6dbcc100c84bd28e5164ac55c87f9a,
title = "Estimates for the number of rational points on convex curves and surfaces",
abstract = "Let Γ ⊂ ℝd be a bounded strictly convex surface. We prove that the number kn(Γ) of points of Γ that lie on the lattice 1/n ℤ2 satisfies the following estimates: lim inf kn(Γ)/nd-2 < ∞ for d < 3 and lim inf kn(Γ)/log n < ∞ for d = 2. Bibliography: 9 titles.",
author = "Petrov, {F. V.}",
year = "2007",
month = dec,
day = "1",
doi = "10.1007/s10958-007-0538-y",
language = "English",
volume = "147",
pages = "7218--7226",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - Estimates for the number of rational points on convex curves and surfaces

AU - Petrov, F. V.

PY - 2007/12/1

Y1 - 2007/12/1

N2 - Let Γ ⊂ ℝd be a bounded strictly convex surface. We prove that the number kn(Γ) of points of Γ that lie on the lattice 1/n ℤ2 satisfies the following estimates: lim inf kn(Γ)/nd-2 < ∞ for d < 3 and lim inf kn(Γ)/log n < ∞ for d = 2. Bibliography: 9 titles.

AB - Let Γ ⊂ ℝd be a bounded strictly convex surface. We prove that the number kn(Γ) of points of Γ that lie on the lattice 1/n ℤ2 satisfies the following estimates: lim inf kn(Γ)/nd-2 < ∞ for d < 3 and lim inf kn(Γ)/log n < ∞ for d = 2. Bibliography: 9 titles.

UR - http://www.scopus.com/inward/record.url?scp=36148944818&partnerID=8YFLogxK

U2 - 10.1007/s10958-007-0538-y

DO - 10.1007/s10958-007-0538-y

M3 - Article

AN - SCOPUS:36148944818

VL - 147

SP - 7218

EP - 7226

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 49850375