Mei-Chu Chang

most citedOn the Density of Integer Points on Generalised Markoff-Hurwitz and Dwork Hypersurfaces

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2016

Nonlinear Roth type theorems in finite fields

Jean Bourgain, Mei-Chu Chang

We obtain smoothing estimates for certain nonlinear convolution operators on prime fields, leading to quantitative nonlinear Roth type theorems. Compared with the usual linear sett…

math.NT2016

Arithmetic progressions in multiplicative groups of finite fields

Mei-Chu Chang

Let $G$ be a multiplicative subgroup of the prime field $F_{p}$ of size $∣ G ∣ > p^{1 - κ}$ and $r$ an arbitrarily fixed positive integer. Assuming $κ = κ (r) > 0$ and $p$ large enough…

math.NT2014★ 2 cited

On the Density of Integer Points on Generalised Markoff-Hurwitz and Dwork Hypersurfaces

Mei-Chu Chang, Igor E. Shparlinski

We use bounds of mixed character sums modulo a square-free integer $q$ of a special structure to estimate the density of integer points on the hypersurface $$ f_1(x_1) + \ldots + f…