All Outputs (3)

Derivatives of L-series of weakly holomorphic cusp forms (2022)
Journal Article
Diamantis, N., & Stromberg, F. (2022). Derivatives of L-series of weakly holomorphic cusp forms. Research in the Mathematical Sciences, 9(4), Article 64. https://doi.org/10.1007/s40687-022-00363-x

Based on the theory of L-series associated with weakly holomorphic modular forms in Diamantis et al. (L-series of harmonic Maass forms and a summation formula for harmonic lifts. arXiv:2107.12366), we derive explicit formulas for central values of de... Read More about Derivatives of L-series of weakly holomorphic cusp forms.

hilbertmodgroup: Reduction algorithms and framework forHilbert Modular Groups (2022)
Journal Article
Strömberg, F. (2022). hilbertmodgroup: Reduction algorithms and framework forHilbert Modular Groups. Journal of Open Source Software, 7(72), Article 3996. https://doi.org/10.21105/joss.03996

This package implements basic classes and a new reduction algorithm for Hilbert modular groups. The main improvement over previous algorithms is that this implementation works in theory for all Hilbert modular groups and in practice for a much wider... Read More about hilbertmodgroup: Reduction algorithms and framework forHilbert Modular Groups.

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.