For positive integers m, U and V, we obtain an asymptotic formula for the number of integer points (u,v) ∈ [1,U]x[1,V] which belong to the modular hyperbola uv ≡ 1 (mod m) and also have gcd(u,v) = 1, which are also known as primitive points. Such points have a nice geometric interpretation as points on the modular hyperbola which are “visible” from the origin.
|Number of pages||8|
|Journal||Bulletin of the Polish Academy of Sciences. Mathematics|
|Publication status||Published - 2006|
- primitive roots
- irregularities of distribution
- estimates on character sums