Re-Na Chu

activity

20232026

collaborators

4 papers

math.NT2026

Short character sums of inhomogeneous polynomials

Rena Chu

Let $p$ be a prime. We prove nontrivial bounds on short sums of Dirichlet characters mod $p$ evaluated at a class of polynomials, not necessarily homogeneous, in $n$ variables and…

math.CA2026

Counterexamples for generalizations of the non-elliptic Schrödinger maximal operator

Rena Chu

For $P = X_{1}^{2} + \dots + X_{n}^{2}$ , let $T_{t}^{P} f (x)$ denote the solution to the linear Schrödinger equation at time $t$ . In 1980, Carleson asked for the minimal regularity of an initial d…

math.NT2025

Estimates for short character sums evaluated at homogeneous polynomials

Rena Chu

Let $p$ be a prime. We prove bounds on short Dirichlet character sums evaluated at a class of homogeneous polynomials in arbitrary dimensions. In every dimension, this bound is non…

math.CA2023

Generalizations of the Schrödinger maximal operator: building arithmetic counterexamples

Rena Chu, Lillian B. Pierce

Let $T_{t}^{P_{2}} f (x)$ denote the solution to the linear Schrödinger equation at time $t$ , with initial value function $f$ , where $P_{2} (ξ) = ∣ ξ ∣^{2}$ . In 1980, Carleson asked for the mi…