Martin Raum
My major research interests are modular forms and their applications in mathematics and physics, in particular string theory. More specifically, I am interested real-analytic automorphic forms, Siegel and orthogonal modular forms, and explicit methods for autormorphic forms.
Showing 25 publications
SCARCITY OF CONGRUENCES FOR THE PARTITION FUNCTION
ON THE COMPUTATION OF GENERAL VECTOR-VALUED MODULAR FORMS
Scalar-valued depth two Eichler–Shimura integrals of cusp forms
Relations among Ramanujan-type congruences II: Ramanujan-type congruences in half-integral weights
A classification of harmonic weak Maaß forms of half-integral weight
Relations among Ramanujan-type congruences I
Congruences of Hurwitz class numbers on square classes
The maximal discrete extension of the Hermitian modular group
Nonholomorphic Ramanujan-type congruences for Hurwitz class numbers
All modular forms of weight 2 can be expressed by Eisenstein series
The skew-Maass lift I: The case of harmonic Maass-Jacobi forms
Harmonic Weak Siegel-Maass Forms I Preimages of Non-Holomorphic Saito-Kurokawa Lifts
Hyper-Algebras of Vector-Valued Modular Forms
Products of vector valued Eisenstein series
Spans of special cycles of codimension less than 5
Almost holomorphic Poincaré series corresponding to products of harmonic Siegel–Maass forms
Harmonic Maass-Jacobi forms of degree 1 with higher rank indices
Computing genus 1 Jacobi forms
Harmonic Maass-Jacobi forms with singularities and a theta-like decomposition
Sturm bounds for Siegel modular forms
Kudla's modularity conjecture and formal Fourier-Jacobi series
Formal Fourier Jacobi expansions and special cycles of codimension two
H-harmonic Maaß-Jacobi forms of degree 1
The structure of Siegel modular forms modulo pp and U(p) congruences
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Showing 3 research projects
Fourier coefficients of Siegel modular forms of block-diagonal index
Real-Analytic Orthogonal Modular Forms as Generating Series
Siegel modulära genererande funktioner