Glenn Bruda

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20222026

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math.NT2026

On digit-appending walks along linear recurrences

Arya Mosahab, Sahitya Boyyakar, Glenn Bruda +2

We study digit-appending walks in base $b \geq 2$ along integer linear recurrences with minimal characteristic polynomials having a unique simple dominant root $α$ that lies outside…

math.CO2026

Enumerating binary words restricted by subsequence frequency

Glenn Bruda

Let $p$ be a binary word of length $ℓ$ with $r \geq 2$ runs. Previously known only for $k \leq 4$ , we show for $n$ sufficiently large that the number of binary words of length $n$ w…

math.NT2026

Generalized polygonal number representations

Glenn Bruda

Let $r_{n}^{k} (N)$ be the number of representations of $N$ as the sum of $n$ generalized $k$ -gonal numbers and $r_{n}^{□} (N)$ be the number of representations of $N$ as the sum o…