Lattice point problems involving index and joint visibility

Sneha Chaubey, Albert Tamazyan, Alexandru Zaharescu

Research output: Contribution to journalArticle

Abstract

We study questions concerning the distribution of lattice points in dimensions two and higher. We give asymptotic formulas for the number of integer lattice points of fixed index visible from certain admissible sets. We also study the shape of the body PA1, . . . ,PAk when the lattice points A1, . . . , Ak move inside a given large ball, and P is a lattice point visible from all Ai's.

Original languageEnglish (US)
Pages (from-to)3273-3288
Number of pages16
JournalProceedings of the American Mathematical Society
Volume147
Issue number8
DOIs
StatePublished - Mar 26 2019

Keywords

  • Exponential And Kloosterman Sums
  • Visible Lattice Points

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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