Evan Chen

activity

20152024

most citedAvoiding algebraic integers of bounded house in orbits of rational functions over cyclotomic closures

11 citations · 26 across the 10 of their papers we have counts for

collaborators

Showing math.NTShow all

4 papers · 1 filter

math.NT2016★ 11 cited

Avoiding algebraic integers of bounded house in orbits of rational functions over cyclotomic closures

Evan Chen

Let $k$ be a number field with cyclotomic closure $k^{cyc}$ , and let $h \in k^{cyc} (x)$ . For $A \geq 1$ a real number, we show that \[ \{ α\in k^{\mathrm{cyc}} : h…

math.NT2015★ 2 cited

Elliptic Curve Variants of the Least Quadratic Nonresidue Problem and Linnik's Theorem

Evan Chen, Peter S. Park, Ashvin Swaminathan

Let $E_{1}$ and $E_{2}$ be $Q$ -nonisogenous, semistable elliptic curves over $Q$ , having respective conductors $N_{E_{1}}$ and $N_{E_{2}}$ and both without com…

math.NT2015★ 1 cited

On Logarithmically Benford Sequences

Evan Chen, Peter S. Park, Ashvin Swaminathan

Let $I \subset N$ be an infinite subset, and let ${a_{i}}_{i \in I}$ be a sequence of nonzero real numbers indexed by $I$ such that there exi…

math.NT2015

Linnik's Theorem for Sato-Tate Laws on Elliptic Curves with Complex Multiplication

Evan Chen, Peter S. Park, Ashvin Swaminathan

Let $E / Q$ be an elliptic curve with complex multiplication (CM), and for each prime $p$ of good reduction, let $a_{E} (p) = p + 1 - # E (F_{p})$ denote the trace of Fro…