5 citations · 10 across the 14 of their papers we have counts for
15 papers
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 . We connect the divisor modular form of to a new weak Maass form . Furth…
A modular framework for generalized Hurwitz class numbers III
Andreas Mono
In , Pei and Wang introduced higher level analogs of the classical Cohen--Eisenstein series. In recent joint work with Beckwith, we found a weight sesquiharmoni…
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…
A modular framework for generalized Hurwitz class numbers II
Olivia Beckwith, Andreas Mono
In a recent preprint, we constructed a sesquiharmonic Maass form of weight and level with odd and squarefree. Extending seminal work by Duke, I…
A modular framework for generalized Hurwitz class numbers I
Olivia Beckwith, Andreas Mono
We discover a non-trivial relation between the mock modular generating functions of the level and level Hurwitz class numbers. This relation yields a holomorphic modular fo…
Central -values of newforms and local polynomials
Joshua Males, Andreas Mono, Larry Rolen +1
In this paper, we characterize the vanishing of twisted central -values attached to newforms of square-free level in terms of certain polynomials of quadratic forms introduced b…
Linear congruence relations for exponents of Borcherds products
Andreas Mono, Badri Vishal Pandey
For all positive powers of primes , we prove the existence of infinitely many linear congruences between the exponents of twisted Borcherds products arising from a suitabl…
A modular framework for functions of Knopp and indefinite binary quadratic forms
Kathrin Bringmann, Andreas Mono
We study functions introduced by Knopp and complete them to non-holomorphic bimodular forms of positive integral weight related to indefinite binary quadratic forms. We investigate…
Local Maaß forms and Eichler--Selberg type relations for negative weight vector-valued mock modular forms
Joshua Males, Andreas Mono
By comparing two different evaluations of a modified (à la Borcherds) higher Siegel theta lift on even lattices of signature , we prove Eichler--Selberg type relations for a…
Locally harmonic Maaß forms of positive even weight
Andreas Mono
We twist Zagier's function by a sign function and a genus character. Assuming weight , and letting be a positive non-square discriminant, we…
Higher depth mock theta functions and -hypergeometric series
Joshua Males, Andreas Mono, Larry Rolen
In the theory of harmonic Maass forms and mock modular forms, mock theta functions are distinguished examples which arose from -hypergeometric examples of Ramanujan. Recently, t…
Eisenstein series of even weight and integral binary quadratic forms
Andreas Mono
We prove a conjecture of Matsusaka on the analytic continuationof hyperbolic Eisenstein series in weight on the full modular group .
Multidimensional small divisor functions
Andreas Mono
This is a short note generalizing the construction from arXiv:1906.07410, arXiv:2009.04955 to multi-indices. We recommend to consider both references first. We obtain polar harmoni…
Polar harmonic Maaß forms and holomorphic projection
Joshua Males, Andreas Mono, Larry Rolen
Recently, Mertens, Ono, and the third author studied mock modular analogues of Eisenstein series. Their coefficients are given by small divisor functions, and have shadows given by…
On a conjecture of Kaneko and Koike
Andreas Mono
In 2006, Kaneko and Koike defined extremal quasimodular forms and proved their existence in depth and . After normalizing and restricting to the case of depth at most , t…