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

10 papers

math.HO2024

Report on the 61st Annual International Mathematical Olympiad

Bela Bajnok, Evan Chen

We present the problems and solutions to the 61st Annual International Mathematical Olympiad

math.CO2017★ 1 cited

Multiplicative and Exponential Variations of Orthomorphisms of Cyclic Groups

Evan Chen

An orthomorphism is a permutation $σ$ of ${1, \dots, n - 1}$ for which $x + σ (x) mod n$ is also a permutation on ${1, \dots, n - 1}$ . Eberhard, Manners, Mrazović, showed that the…

math.CO2017★ 6 cited

A Family of Partially Ordered Sets with Small Balance Constant

Evan Chen

Given a finite poset $P$ and two distinct elements $x$ and $y$ , we let $pr_{P} (x ≺ y)$ denote the fraction of linear extensions of $P$ …

math.CO2017★ 2 cited

Schur-Concavity for Avoidance of Increasing Subsequences in Block-Ascending Permutations

Evan Chen

For integers $a_{1}, \dots, a_{n} \geq 0$ and $k \geq 1$ , let $L_{k + 2} (a_{1}, \dots, a_{n})$ denote the set of permutations of ${1, \dots, a_{1} + \dots + a_{n}}$ whose descent set is con…

math.CO2016

The 26 Wilf-equivalence classes of length five quasi-consecutive patterns

Evan Chen, Shyam Narayanan

We present two families of Wilf-equivalences for consecutive and quasi-consecutive vincular patterns. These give new proofs of the classification of consecutive patterns of length…

math.CO2016★ 3 cited

Linear polychromatic colorings of hypercube faces

Evan Chen

A coloring of the $ℓ$ -dimensional faces of $Q_{n}$ is called $d$ -polychromatic if every embedded $Q_{d}$ has every color on at least one face. Denote by $p^{ℓ} (d)$ the maximum numb…

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…