Jacob Mayle

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math.NT2025

A uniform bound on the smallest surjective prime of an elliptic curve

Tyler Genao, Jacob Mayle, Jeremy Rouse

Let $E / Q$ be an elliptic curve without complex multiplication. A well-known theorem of Serre asserts that the $ℓ$ -adic Galois representation $ρ_{E, ℓ^{\infty}}$ is surj…

math.NT2020

Curious Squares

Neelima Borade, Jacob Mayle

A curious number is a palindromic number whose base ten representation has the form $a \dots ab \dots ba \dots a$ . In this paper, we determine all curious numbers that are per…