22 citations · 62 across the 15 of their papers we have counts for
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Depth Two Mock Modularity by Eisenstein Series Coupling
Kathrin Bringmann, Caner Nazaroglu
The notion of depth two and higher mock modular forms have found important applications in mathematical physics and enumerative geometry since their inception through indefinite th…
Asymptotics of partition parts in arithmetic progressions
Kathrin Bringmann, Caner Nazaroglu, Jan-Willem M. van Ittersum
We study the distribution of partition parts in arithmetic progressions and find asymptotic results that capture all exponentially growing terms. This is accomplished by studying t…
Quasimodularity and Limiting Behavior for Variations of MacMahon Series
Caner Nazaroglu, Badri Vishal Pandey, Ajit Singh
Motivated by the 1920's seminal work of Major MacMahon, Amdeberhan--Andrews--Tauraso recently introduced an infinite family of -series \[ \mathcal{U}_{t}(a;q):= \sum_{1\le n_1<n…
Precision Asymptotics for Partitions Featuring False-Indefinite Theta Functions
Kathrin Bringmann, William Craig, Caner Nazaroglu
Andrews-Dyson-Hickerson, Cohen build a striking relation between q-hypergeometric series, real quadratic fields, and Maass forms. Thanks to the works of Lewis-Zagier and Zwegers we…
Quantum Modular Forms from Real Quadratic Double Sums
Kathrin Bringmann, Caner Nazaroglu
In 2015, Lovejoy and Osburn discovered twelve -hypergeometric series and proved that their Fourier coefficients can be understood as counting functions of ideals in certain quad…
Higher Depth False Modular Forms
Kathrin Bringmann, Jonas Kaszian, Antun Milas +1
False theta functions are functions that are closely related to classical theta functions and mock theta functions. In this paper, we study their modular properties at all ranks by…