Seewoo Lee

collaborators

5 papers

math.CO2026

Dead ends in square-free digit walks

Evan Chen, Chris Cummins, Ben Eltschig +18

We study "dead ends" in square-free digit walks: square-free integers $N$ such that, in base $b$ , every one-digit extension $b N + d$ is non-square-free. In base $10$ , the stochastic…

math.NT2026

Almost all primes are partially regular

Evan Chen, Chris Cummins, Ben Eltschig +18

For odd primes $p$ , we let $K_{p} := Q (ζ_{p})$ be the $p$ th cyclotomic field and let $ω$ denote its Teichmuller character. For $α > 1/2$ , we say that an odd prime $p$ is partially…

math.NT2026

Powerful Fibonacci polynomials over finite fields

Graeme Bates, Ryan Jesubalan, Seewoo Lee +2

Bugeaud, Mignotte, and Siksek proved that the only perfect powers in Fibonacci sequence are 0, 1, 8, and 144. In this paper, we study the polynomial analogue of the problem. Especi…

math.NT2025

Modulation groups

Jayce R. Getz, Armando Gutiérrez Terradillos, Farid Hosseinijafari +6

Conjectures of Braverman and Kazhdan, Ngô and Sakellaridis have motivated the development of Schwartz spaces for certain spherical varieties. We prove that under suitable assumptio…

math.NT2025

Shanks' bias in function fields

Seewoo Lee

We study the function field analogue of Shanks bias. For Liouville function $λ (f)$ , we compare the number of monic polynomials $f$ with $λ (f) χ_{m} (f) = 1$ and $λ (f) χ_{m} (f) = - 1$ for…