1 citations · 1 across the 6 of their papers we have counts for
11 papers
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…
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…
Congruences on Square-Classes for the Partition Function
Martin Raum
We considerably improve Ono's and Ahlgren-Ono's work on the frequent occurrence of Ramanujan-type congruences for the partition function, and demonstrate that Ramanujan-type congru…
All modular forms of weight 2 can be expressed by Eisenstein series
Martin Raum, Jiacheng Xia
We show that every elliptic modular form of integral weight greater than can be expressed as linear combinations of products of at most two cusp expansions of Eisenstein series…