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papers

Publications (81)

math.NT2019

A Framework for Modular Properties of False Theta Functions

Kathrin Bringmann, Caner Nazaroglu

math.NT2014

On Dyson's crank conjecture and the uniform asymptotic behavior of certain inverse theta functions

Kathrin Bringmann, Jehanne Dousse

math.NT2016

A problem of Petersson about weight 0 meromorphic modular forms

Kathrin Bringmann, Ben Kane

math.NT2011

Mock period functions, sesquiharmonic Maass forms, and non-critical values of L-functions

Kathrin Bringmann, Nikolaos Diamantis, Martin Raum

math.NT2016

Formulas for Jacobi forms and generalized Frobenius partitions

Kathrin Bringmann, Larry Rolen, Michael Woodbury

math.NT2015

$p$-adic properties of modular shifted convolution Dirichlet series

Kathrin Bringmann, Michael H. Mertens, Ken Ono

math.NT2007

Hecke duality relations of Jacobi forms

Kathrin Bringmann, Bernhard Heim

math.NT2014

Asymptotic formulas for coefficients of inverse theta functions

Kathrin Bringmann, Jan Manschot

math.NT2015

False theta functions and companions to Capparelli's identities

Kathrin Bringmann, Karl Mahlburg

math.QA2017

Zhu reduction for Jacobi $n$-point functions and applications

Kathrin Bringmann, Matthew Krauel, Michael P. Tuite

math.NT2014

On the Fourier expansion of Bloch-Okounkov

Kathrin Bringmann, Antun Milas

math.NT2013

Asymptotic formulas for stacks and unimodal sequences

Kathrin Bringmann, Karl Mahlburg

math.NT2013

Schur's partition theorem and mixed mock modular forms

Kathrin Bringmann, Karl Mahlburg

math.PR2010

Improved bounds on metastability thresholds and probabilities for generalized bootstrap percolation

Kathrin Bringmann, Karl Mahlburg

math.NT2016

On a completed generating function of locally harmonic Maass forms

Kathrin Bringmann, Ben Kane, Sander Zwegers

math.NT2017

On Divisors of Modular Forms

Kathrin Bringmann, Ben Kane, Steffen Löbrich +2

math.NT2014

Shintani lifts and fractional derivatives for harmonic weak Maass forms

Kathrin Bringmann, Pavel Guerzhoy, Ben Kane

math.NT2015

Radial limits of mock theta functions

Kathrin Bringmann, Larry Rolen

math.NT2018

On characters of $L_{\frak{sl}_n}(-Λ_0)$-modules

Kathrin Bringmann, Karl Mahlburg, Antun Milas

math.NT2013

Almost harmonic Maass forms and Kac-Wakimoto characters

Kathrin Bringmann, Amanda Folsom

math.NT2010

Automorphic properties of generating functions for generalized odd rank moments and odd Durfee symbols

Claudia Alfes, Kathrin Bringmann, Jeremy Lovejoy

math.NT2010

Mock modular forms as $p$-adic modular forms

Kathrin Bringmann, Pavel Guerzhoy, Ben Kane

math.NT2007

On the explicit construction of higher deformations of partition statistics

Kathrin Bringmann

math.NT2018

An exact formula for $\mathrm{U}(3)$ Vafa-Witten invariants on $\mathbb{P}^2$

Kathrin Bringmann, Caner Nazaroglu

math.NT2018

Regularized inner products of meromorphic modular forms and higher Green's functions

Kathrin Bringmann, Ben Kane, Anna-Maria von Pippich

math.NT2015

Negative index Jacobi forms and quantum modular forms

Kathrin Bringmann, Thomas Creutzig, Larry Rolen

math.NT2010

$\ell$-adic properties of smallest parts functions

Scott Ahlgren, Kathrin Bringmann, Jeremy Lovejoy

math.NT2018

Higher depth quantum modular forms, multiple Eichler integrals, and $\frak{sl}_3$ false theta functions

Kathrin Bringmann, Jonas Kaszian, Antun Milas

math.NT2011

From sheaves on P2 to a generalization of the Rademacher expansion

Kathrin Bringmann, Jan Manschot

math.NT2013

Quasimodular forms and sl(m|m)^ characters

Kathrin Bringmann, Amanda Folsom, K. Mahlburg

math.NT2019

Unimodal Sequence Generating Functions Arising from Partition Ranks

Kathrin Bringmann, Chris Jennings-Shaffer

math.NT2007

Dyson's Rank, overpartitions, and weak Maass forms

Kathrin Bringmann, Jeremy Lovejoy

math.NT2015

On the modularity of certain functions from the Gromov-Witten theory of elliptic orbifolds

Kathrin Bringmann, Larry Rolen, Sander Zwegers

math.NT2016

Asymptotic behavior of partial and false theta functions arising from Jacobi forms and regularized characters

Kathrin Bringmann, Amanda Folsom, Antun Milas

math.CO2008

Multiplicative $q$-hypergeometric series arising from real quadratic fields

Kathrin Bringmann, Ben Kane

math.NT2017

On some special families of $q$-hypergeometric Maass forms

Kathrin Bringmann, Jeremy Lovejoy, Larry Rolen

math.NT2019

Vector-valued higher depth quantum modular forms and higher Mordell integrals

Kathrin Bringmann, Jonas Kaszian, Antun Milas

The authors prove that vector‑valued functions arising from characters of certain vertex algebras satisfy higher‑depth quantum modular properties, and they represent the resulting…

#quantum modular forms#vector-valued modular forms#vertex algebras#Mordell integrals
math.NT2016

A classification of harmonic Maass forms

Kathrin Bringmann, Stephen Kudla

math.NT2014

Double series representations for Schur's partition function and related identities

George Andrews, Kathrin Bringmann, Karl Mahlburg

math.NT2007

Overpartitions and class numbers of binary quadratic forms

Kathrin Bringmann, Jeremy Lovejoy

math.NT2016

Improved bounds for Fourier coefficients of Siegel modular forms

Kathrin Bringmann

math.NT2016

Ramanujan-like formulas for Fourier coefficients of all meromorphic cusp forms

Kathrin Bringmann, Ben Kane

math.NT2014

Modular local polynomials

Kathrin Bringmann, Ben Kane

math.NT2016

Images of Maass-Poincaré series in the lower half-plane

Nickolas Andersen, Kathrin Bringmann, Larry Rolen

math.NT2015

Maass-Jacobi Poincaré series and Mathieu Moonshine

Kathrin Bringmann, John Duncan, Larry Rolen

math.NT2019

Proofs and reductions of various conjectured partition identities of Kanade and Russell

Kathrin Bringmann, Chris Jennings-Shaffer, Karl Mahlburg

math.NT2018

Peak positions of strongly unimodal sequences

Kathrin Bringmann, Chris Jennings-Shaffer, Karl Mahlburg +1

math.NT2015

Distinct parts partitions without sequences

Kathrin Bringmann, Karl Mahlburg, Karthik Nataraj

math.NT2016

Ramanujan and coefficients of meromorphic modular forms

Kathrin Bringmann, Ben Kane

math.NT2014

Harmonic Maass-Jacobi forms with singularities and a theta-like decomposition

Kathrin Bringmann, Martin Raum, Olav Richter

math.NT2014

On the asymptotic behavior of unimodal rank generating functions

Kathrin Bringmann, Byungchan Kim

math.NT2012

k-Run Overpartitions and Mock Theta Functions

Kathrin Bringmann, Alexander Holroyd, Karl Mahlburg +1

math.NT2012

Kohnen's limit process for real-analytic Siegel modular forms

Kathrin Bringmann, Martin Raum, Olav Richter

math.QA2019

Quantum modular forms and plumbing graphs of 3-manifolds

Kathrin Bringmann, Karl Mahlburg, Antun Milas

math.NT2017

Taylor coefficients of non-holomorphic Jacobi forms and applications

Kathrin Bringmann

math.NT2015

Identities for generalized Appell functions and the blow-up formula

Kathrin Bringmann, Jan Manschot, Larry Rolen

math.NT2015

On the Fourier coefficients of negative index meromorphic Jacobi forms

Kathrin Bringmann, Larry Rolen, Sander Zwegers

math.NT2011

Inequalities for full rank differences of 2-marked Durfee symbols

Kathrin Bringmann, Ben Kane

math.NT2017

Number-theoretic generalization of the Monster denominator formula

Kathrin Bringmann, Ben Kane, Steffen Löbrich +2

math.NT2016

Polar harmonic Maass forms and their applications

Kathrin Bringmann, Ben Kane

math.NT2017

On a modularity conjecture of Andrews, Dixit, Schultz, and Yee for a variation of Ramanujan's $ω(q)$

Kathrin Bringmann, Chris Jennings-Shaffer, Karl Mahlburg

math.NT2011

On a conjecture of Berndt and Kim

Kathrin Bringmann, Amanda Folsom

math.AG2018

Tropical mirror symmetry for elliptic curves

Janko Boehm, Kathrin Bringmann, Arne Buchholz +1

math.NT2013

A partition identity and the universal mock theta function $g_2$

Kathrin Bringmann, Jeremy Lovejoy, Karl Mahlburg

math.NT2019

A note on Andrews' partitions with parts separated by parity

Kathrin Bringmann, Chris Jennings-Shaffer

math.NT2017

Differential operators on polar harmonic Maass forms and elliptic duality

Kathrin Bringmann, Paul Jenkins, Ben Kane

math.NT2011

Partial theta functions and mock modular forms as q-hypergeometric series

Kathrin Bringmann, Amanda Folsom, Robert C. Rhoades

math.NT2007

Asymptotics for rank partition functions

Kathrin Bringmann

math.NT2012

Theta lifts and local Maass forms

Kathrin Bringmann, Ben Kane, Maryna Viazovska

math.NT2019

Rank two false theta functions and Jacobi forms of negative definite matrix index

Kathrin Bringmann, Jonas Kaszian, Antun Milas +1

math.NT2012

Asymptotic inequalities for positive crank and rank moments

Kathrin Bringmann, Karl Mahlburg

math.NT2017

Regularized inner products and weakly holomorphic Hecke eigenforms

Kathrin Bringmann, Ben Kane

math.NT2015

Half-integral weight Eichler integrals and quantum modular forms

Kathrin Bringmann, Larry Rolen

math.NT2016

Regularized inner products and errors of modularity

Kathrin Bringmann, Nikolaos Diamantis, Stephan Ehlen

math.NT2014

Locally harmonic Maass forms and the kernel of the Shintani lift

Kathrin Bringmann, Ben Kane, Winfried Kohnen

hep-th2012

On the positivity of black hole degeneracies in string theory

Kathrin Bringmann, Sameer Murthy

math.NT2014

On cycle integrals of weakly holomorphic modular forms

Kathrin Bringmann, Pavel Guerzhoy, Ben Kane

math.NT2018

Indefinite theta functions arising in Gromov-Witten Theory of elliptic orbifolds

Kathrin Bringmann, Jonas Kaszian, Larry Rolen

math.NT2015

On the Andrews-Zagier asymptotics for partitions without sequences

Kathrin Bringmann, Robert Rhoades, Daniel Parry

math.NT2008

Rank-Crank type PDE's and non-holomorphic Jacobi forms

Kathrin Bringmann, Sander Zwegers

math.NT2018

On the modular completion of certain generating functions

Kathrin Bringmann, Stephan Ehlen, Markus Schwagenscheidt