29 citations · 51 across the 14 of their papers we have counts for
14 papers
Beyond Mock Modularity: Elliptic Corrections for Higher Dyson Ranks
Claudia Alfes, Ken Ono, Ashvin Swaminathan
When , the Dyson rank generating function is a classical bridge between partition theory, Ramanujan's mock theta functions, and the theory of harmonic Maass forms and nonhol…
Magnetic orthogonal modular forms
Claudia Alfes, Paul Kiefer
In this note we show that certain meromorphic orthogonal modular forms are magnetic, i.e.\ their Fourier coefficients satisfy special divisibility criteria. These meromorphic ortho…
Symplectic Hecke eigenbases from Ehrhart polynomials
Claudia Alfes, Joshua Maglione, Christopher Voll
For and , we consider the function extracting the th coefficient of the Ehrhart polynomials of lattice polytopes in . T…
Cycle integrals of meromorphic Hilbert modular forms
Claudia Alfes, Baptiste Depouilly, Paul Kiefer +1
We establish a rationality result for linear combinations of traces of cycle integrals of certain meromorphic Hilbert modular forms. These are meromorphic counterparts to the Hilbe…
Measures, modular forms, and summation formulas of Poisson type
Claudia Alfes, Paul Kiefer, Jan Mazáč
In this article, we show that Fourier eigenmeasures supported on spheres with radii given by a locally finite sequence, which we call -spherical measures, correspond to Fourier…
Ehrhart polynomials, Hecke series, and affine buildings
Claudia Alfes, Joshua Maglione, Christopher Voll
Given a lattice polytope and a prime , we define a function from the set of primitive symplectic -adic lattices to the rationals that extracts the th coefficient of…
On Kleinian mock modular forms
Claudia Alfes-Neumann, Michael Mertens
We give an explicit and computationally efficient construction of harmonic weak Maass forms which map to weight newforms under the -operator. Our work uses a new non-analyti…
Harmonic weak Maass forms and periods II
Claudia Alfes-Neumann, Jan Hendrik Bruinier, Markus Schwagenscheidt
In this paper we investigate the Fourier coefficients of harmonic Maass forms of negative half-integral weight. We relate the algebraicity of these coefficients to the algebraicity…
A classification of polyharmonic Maaß forms via quiver representations
Claudia Alfes-Neumann, Igor Burban, Martin Raum
We give a classification of the Harish-Chandra modules generated by the pullback to~$\SL{2}(\RR)$ of \emph{poly}harmonic Maaß forms for congruence subgroups of~$\SL{2}(\ZZ)$ with e…
Weierstrass mock modular forms and elliptic curves
Claudia Alfes, Michael Griffin, Ken Ono +1
Mock modular forms, which give the theoretical framework for Ramanujan's enigmatic mock theta functions, play many roles in mathematics. We study their role in the context of modul…
Formulas for the coefficients of half-integral weight harmonic Maass forms
Claudia Alfes
Recently, Bruinier and Ono proved that the coefficients of certain weight -1/2 harmonic weak Maaß forms are given as "traces" of singular moduli for harmonic weak Maaß forms. Here,…
The Mock Modular Data of a Family of Superalgebras
Claudia Alfes, Thomas Creutzig
The modular properties of characters of representations of a family of W-superalgebras extending the affine Lie superalgebra of gl(1|1) are considered. Modules fall into two classe…
Twisted Traces of CM values of Harmonic Weak Maass Forms
Claudia Alfes, Stephan Ehlen
We show that the twisted traces of CM values of weak Maass forms of weight 0 are Fourier coefficients of vector valued weak Maass forms of weight 3/2. These results generalize work…
Automorphic properties of generating functions for generalized odd rank moments and odd Durfee symbols
Claudia Alfes, Kathrin Bringmann, Jeremy Lovejoy
We define two-parameter generalizations of Andrews' -marked odd Durfee symbols and th symmetrized odd rank moments, and study the automorphic properties of some of their…