Outputs (2)

Theoretical and computational aspects of Hilbert-Maass forms (2024)
Preprint / Working Paper
Singh, S., & Strömberg, F. Theoretical and computational aspects of Hilbert-Maass forms

We introuce algorithms for computing Hilbert - Maass forms and present results obtained by using these algorithms. We also give an overview of the explicit Hecke theory for Hilbert -Maaass forms in the case of narrow class number one.

A reduction algorithm for Hilbert modular groups (2022)
Journal Article
Strömberg, F. (2022). A reduction algorithm for Hilbert modular groups. Journal of Number Theory, 241, 581-602. https://doi.org/10.1016/j.jnt.2022.02.011

The aim of this paper is to present an explicit reduction algorithm for Hilbert modular groups over arbitrary totally real number fields. An implementation of the algorithm is available to download from [20]. The exposition is self-contained and suff... Read More about A reduction algorithm for Hilbert modular groups.