11 citations · 28 across the 15 of their papers we have counts for
15 papers
Random eigenfunctions on flat tori: universality for the number of intersections
Mei-Chu Chang, Hoi Nguyen, Oanh Nguyen +1
We show that several statistics of the number of intersections between random eigenfunctions of general eigenvalues with a given smooth curve in flat tori are universal under vario…
On the exponential large sieve inequality for sparse sequences modulo primes
Mei-Chu Chang, Bryce Kerr, Igor E. Shparlinski
We complement the argument of M. Z. Garaev (2009) with several other ideas to obtain a stronger version of the large sieve inequality with sparse exponential sequences of the form…
Orbits of Polynomial Dynamical Systems Modulo Primes
Mei-Chu Chang, Carlos D'Andrea, Alina Ostafe +2
We present lower bounds for the orbit length of reduction modulo primes of parametric polynomial dynamical systems defined over the integers, under a suitable hypothesis on its set…
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…
Arithmetic progressions in multiplicative groups of finite fields
Mei-Chu Chang
Let be a multiplicative subgroup of the prime field of size and an arbitrarily fixed positive integer. Assuming and large enough…
On a paper of Erdös and Szekeres
Mei-Chu Chang, Jean Bourgain
Propositions 1.1 -- 1.3 stated below contribute to results and certain problems considered in a paper by Erdos and Szekeres, on the behavior of products $\prod^n_1 (1-z^{a_j}), 1\l…