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 language | English (US) |
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Pages (from-to) | 3273-3288 |
Number of pages | 16 |
Journal | Proceedings of the American Mathematical Society |
Volume | 147 |
Issue number | 8 |
DOIs | |
State | Published - Mar 26 2019 |
Keywords
- Exponential And Kloosterman Sums
- Visible Lattice Points
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics