Andreas Mono

activity

20202025

collaborators

5 papers

math.NT2025

On a Divisor Modular Form and a Theta Lift

Andreas Mono, Larry Rolen, Johann Stumpenhusen

In 1975, Zagier introduced the highly influential hyperbolic Poincaré series $f_{k, D}$ . We connect the divisor modular form of $f_{k, D}$ to a new weak Maass form $ω_{k + 1, D}$ . Furth…

math.NT2025

A modular framework for generalized Hurwitz class numbers III

Andreas Mono

In $2003$ , Pei and Wang introduced higher level analogs of the classical Cohen--Eisenstein series. In recent joint work with Beckwith, we found a weight $\frac{1}{2}$ sesquiharmoni…

math.NT2025

Flipping operators and locally harmonic Maass forms

Kathrin Bringmann, Andreas Mono, Larry Rolen

In the theory of integral weight harmonic Maass forms of manageable growth, two key differential operators, the Bol operator and the shadow operator, play a fundamental role. Harmo…

math.NT2024

A modular framework for generalized Hurwitz class numbers II

Olivia Beckwith, Andreas Mono

In a recent preprint, we constructed a sesquiharmonic Maass form $G$ of weight $\frac{1}{2}$ and level $4 N$ with $N$ odd and squarefree. Extending seminal work by Duke, I…

math.NT2020

On a conjecture of Kaneko and Koike

Andreas Mono

In 2006, Kaneko and Koike defined extremal quasimodular forms and proved their existence in depth $1$ and $2$ . After normalizing and restricting to the case of depth at most $4$ , t…