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.

Original languageEnglish
Pages (from-to)7218-7226
Number of pages9
JournalJournal of Mathematical Sciences
Volume147
Issue number6
DOIs
StatePublished - 1 Dec 2007

    Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

ID: 49850375