Abstract
Given integers a, m≥1 with gcd(a,m)=1 and s≥2, let Hs(a,m) be the following set of integral pointsHs(a,m)={(x1,…,xs)∈Zs:x1…xs≡a(modm),={(x1,…,xs)∈Zs:1≤x1,…,xs≤m−1}. We obtain upper bounds on the number of vertices of the convex hull of Hs(a,m). These bounds generalise those known for s=2, although our approach is different.
Original language | English |
---|---|
Pages (from-to) | 71-78 |
Number of pages | 8 |
Journal | Journal of Number Theory |
Volume | 171 |
DOIs | |
Publication status | Published - 1 Feb 2017 |
Externally published | Yes |
Keywords
- Convex hull
- Modular hyperbola