35 citations · 69 across the 40 of their papers we have counts for
7 papers · 1 filter
Scalar-valued depth two Eichler-Shimura Integrals of Cusp Forms
Tobias Magnusson, Martin Raum
Given cusp forms and of integral weight , the depth two holomorphic iterated Eichler-Shimura integral is defined by ${\int_τ^{i\infty}f(z)(X-z)^{k-2}I_g…
A classification of polyharmonic Maaß forms via quiver representations
Claudia Alfes-Neumann, Igor Burban, Martin Raum
We give a classification of the Harish-Chandra modules generated by the pullback to~$\SL{2}(\RR)$ of \emph{poly}harmonic Maaß forms for congruence subgroups of~$\SL{2}(\ZZ)$ with e…
The Bernstein-Gelfand Tensor Product Functor and the Weight-2 Eisenstein Series
Martin Raum
The Bernstein-Gelfand tensor product functors are endofunctors of the category of Harish-Chandra modules provided by tensor products with finite dimensional modules. We provide an…
Eichler integrals and generalized second order Eisenstein series
Albin Ahlbäck, Tobias Magnusson, Martin Raum
We show that all Eichler integrals, and more generally all "generalized second order modular forms" can be expressed as linear combinations of corresponding generalized second orde…
Congruences of Hurwitz class numbers on square classes
Olivia Beckwith, Martin Raum, Olav Richter
We extend a holomorphic projection argument of our earlier work to prove a novel divisibility result for non-holomorphic congruences of Hurwitz class numbers. This result allows us…
On the Computation of General Vector-valued Modular Forms
Tobias Magnusson, Martin Raum
We present and discuss an algorithm and its implementation that is capable of directly determining Fourier expansions of any vector-valued modular form of weight at least assoc…
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…