20 citations · 32 across the 7 of their papers we have counts for
8 papers · 1 filter
On Jacobi--Weierstrass mock modular forms
Claudia Alfes-Neumann, Jens Funke, Michael Mertens +1
We construct harmonic weak Maass forms that map to cusp forms of weight with rational coefficients under the -operator. This generalizes work of the first author, Grif…
A classification of harmonic weak Maaß forms of half-integral weight
Claudia Alfes-Neumann, Martin Raum
We classify Harish-Chandra modules generated by the pullback to the metaplectic group of harmonic weak Maaß forms with exponential growth allowed at the cusps. This extends work by…
Cycle integrals of meromorphic modular forms and coefficients of harmonic Maass forms
Claudia Alfes-Neumann, Kathrin Bringmann, Joshua Males +1
In this paper, we investigate traces of cycle integrals of certain meromorphic modular forms. By relating them to regularised theta lifts we provide explicit formulae for them in t…
Traces of reciprocal singular moduli
Claudia Alfes-Neumann, Markus Schwagenscheidt
We show that the generating series of traces of reciprocal singular moduli is a mixed mock modular form of weight whose shadow is given by a linear combination of products of…
Identities of Cycle Integrals of Weak Maass Forms
Claudia Alfes-Neumann, Markus Schwagenscheidt
We prove identities between cycle integrals of non-holomorphic modular forms arising from applications of various differential operators to weak Maass forms.
On the rationality of cycle integrals of meromorphic modular forms
Claudia Alfes-Neumann, Kathrin Bringmann, Markus Schwagenscheidt
We derive finite rational formulas for the traces of cycle integrals of certain meromorphic modular forms. Moreover, we prove the modularity of a completion of the generating funct…
Shintani theta lifts of harmonic Maass forms
Claudia Alfes-Neumann, Markus Schwagenscheidt
We define a regularized Shintani theta lift which maps weight () harmonic Maass forms for congruence subgroups to (sesqui-)harmonic Maass forms of weight…
On a theta lift related to the Shintani lift
Claudia Alfes-Neumann, Markus Schwagenscheidt
We study a certain theta lift which maps weight to weight harmonic weak Maass forms for , and which is closely related to the classical Sh…