Re-Na Chu

activity

20202026

most citedConstant root number on integer fibres of elliptic surfaces

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 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…

math.CA2021

Counterexamples for high-degree generalizations of the Schrödinger maximal operator

Chen An, Rena Chu, Lillian B. Pierce

In 1980 Carleson posed a question on the minimal regularity of an initial data function in a Sobolev space $H^{s} (R^{n})$ that implies pointwise convergence for the solution o…

math.NT2020★ 1 cited

Constant root number on integer fibres of elliptic surfaces

Rena Chu, Julie Desjardins

Rizzo showed that the family of elliptic curves $W (t) : y^{2} = x^{3} + t x^{2} - (t + 3) x + 1$ , a well-known example of Washington, has root number $W (W (t)) = - 1$ for all $t\in\ma…