activity
20242026
collaborators

8 papers

math.NT2026

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…

math.NT2026

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…

math.NT2026

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…

math.NT2026

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…

math.NT2025

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…

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 . We connect the divisor modular form of to a new weak Maass form . Fur…