Kit-Ho Mak

activity

20102014

most citedLehmer points and visible points on affine varieties over finite fields

4 citations · 10 across the 7 of their papers we have counts for

collaborators

9 papers

math.NT2014★ 1 cited

The distribution of values of short hybrid exponential sums on curves over finite fields II

Kit-Ho Mak

Let $p$ be a prime number, $C$ be any absolutely irreducible affine plane curve over $F_{p}$ , and $g, f \in F_{p} (x, y)$ be rational functions. We continue the study of t…

math.NT2013

The distribution of values of short hybrid exponential sums on curves over finite fields

Kit-Ho Mak, Alexandru Zaharescu

Let $p$ be a prime number, $X$ be an absolutely irreducible affine plane curve over $F_{p}$ , and $g, f \in F_{p} (x, y)$ . We study the distribution of the values of the hy…

math.NT2013

The distribution of points on curves over finite fields in some small rectangles

Kit-Ho Mak

Let $p$ be a prime. We study the distribution of points on a class of curves $C$ over $F_{p}$ inside very small rectangles $B$ for which the Weil bound fails to give nontriv…

math.NT2013★ 2 cited

The distribution of rational points and polynomial maps on an affine variety over a finite field on average

Kit-Ho Mak, Alexandru Zaharescu

Let $p$ be a prime, let $V / F_{p}$ be an absolutely irreducible affine variety inside the affine $r$ -space. In this paper, we consider the problem of how often a box $B$ will…

math.NT2011

Poisson Type Phenomena for Points on Hyperelliptic Curves modulo p

Kit-Ho Mak, Alexandru Zaharescu

Let $p$ be a large prime, and let $C$ be a hyperelliptic curve over $F_{p}$ . We study the distribution of the $x$ -coordinates in short intervals when the $y$ -coordinates lie…

math.NT2011

On the distribution of the number of points on a family of curves over finite fields

Kit-Ho Mak, Alexandru Zaharescu

Let $p$ be a large prime, $ℓ \geq 2$ be a positive integer, $m \geq 2$ be an integer relatively prime to $ℓ$ and $P (x) \in F_{p} [x]$ be a polynomial which is not a complet…