Steven J. Miller

activity

20032026

most cited1- and 2-Level Densities for Rational Families of Elliptic Curves: Evidence for the Underlying Group Symmetries

127 citations · 1.2k across the 174 of their papers we have counts for

collaborators

192 papers

math.NT2026

Generating and generalizing MSTD sets through Markov processes

Frank He, Karol Daniewski, Steven J. Miller

The classical More Sums Than Differences (MSTD) problem studies finite sets $A \subset {0, 1, \dots, n}$ for which $∣ A + A ∣ > ∣ A - A ∣$ , where $A + A = {a_{1} + a_{2} : a_{1}, a_{2} \in A}$ and $A-A=\{a_1-…

math.CO2026

The Fibonacci Rectangle Game: Two First-Move Classes and a Triangle-Induced Choice

Douglas Larsson Engholm, Steven J. Miller

A square-adjoining rectangle game generates the Fibonacci numbers and the Fibonacci spiral from a simple geometric rule. If one starts from a square, the four possible first moves…

math.CO2023

VC-Dimension of Hyperplanes over Finite Fields

Ruben Ascoli, Livia Betti, Justin Cheigh +8

Let $F_{q}^{d}$ be the $d$ -dimensional vector space over the finite field with $q$ elements. For a subset $E \subseteq F_{q}^{d}$ and a fixed nonzero $t \in F_{q}$ ,…

math.NT2023

A characterization of prime $v$ -palindromes

Muhammet Boran, Garam Choi, Steven J. Miller +2

An integer $n \geq 1$ is a $v$ -palindrome if it is not a multiple of $10$ , nor a decimal palindrome, and such that the sum of the prime factors and corresponding exponents larger th…

math.NT2023

Extending the support of $1$ - and $2$ -level densities for cusp form $L$ -functions under square-root cancellation hypotheses

Annika Mauro, Jack B. Miller, Steven J. Miller

The Katz-Sarnak philosophy predicts that the behavior of zeros near the central point in families of $L$ -functions agrees with that of eigenvalues near 1 of random matrix ensembles…

math.PR2023

Benfordness of Measurements Resulting from Box Fragmentation

Livia Betti, Irfan Durmić, Zoe McDonald +2

We make progress on a conjecture made by [DM], which states that the $d$ -dimensional frames of $m$ -dimensional boxes resulting from a fragmentation process satisfy Benford's law fo…