3 papers
math.NT2022
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…
math.NT2022
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…
math.NT2022
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…