Olav K. Richter

collaborators

4 papers

math.NT2026

Recursions for Mock Theta Functions

Matthew Ortiz, Martin Raum, Olav K. Richter

We establish weighted recursions for the coefficients of Ramanujan's third order mock theta functions $f$ and $I ¨ $ . Specifically, we apply a holomorphic projection operator to vect…

math.NT2026

Weighted Recursions for Hurwitz Class Numbers

Matthew Ortiz, Martin Raum, Olav K. Richter

We establish new recursions for Hurwitz class numbers with polynomial weights. In contrast to previous recursions, our results decouple class numbers of even and odd discriminants.…

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…

Recursions for Mock Theta Functions

Weighted Recursions for Hurwitz Class Numbers

Theta Cycles of Modular Forms Modulo p2

Eisenstein series modulo p2

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

Eisenstein series modulo $p^{2}$