Scott Ahlgren

collaborators

2 papers

math.NT2026

Theta Cycles of Modular Forms Modulo $p^{2}$

Scott Ahlgren, Martin Raum, Olav K. Richter

The theta cycle of a modular form modulo a prime $p \geq 5$ is well understood. By contrast, the theta cycle modulo a power of $p$ is still mysterious and experimentally erratic. He…

math.NT2025

Eisenstein series modulo $p^{2}$

Scott Ahlgren, Michael Hanson, Martin Raum +1

We study congruences for Eisenstein series on $SL_{2} (Z)$ modulo $p^{2}$ , where $p \geq 5$ is prime. It is classically known that all Eisenstein series of weight at l…

Theta Cycles of Modular Forms Modulo p2

Eisenstein series modulo p2

Theta Cycles of Modular Forms Modulo $p^{2}$

Eisenstein series modulo $p^{2}$