Paramodular groups and theta series
Abstract
For a paramodular group of any degree and square free level we study the Hecke algebra and the boundary components. We define paramodular theta series and show that for square free level and large enough weight they generate the space of cusp forms (basis problem), using the doubling and pullback of Eisenstein series method. For this we give a new geometric proof of Garrett's double coset decomposition which works in our more general situation.
 Publication:

arXiv eprints
 Pub Date:
 November 2020
 DOI:
 10.48550/arXiv.2011.09597
 arXiv:
 arXiv:2011.09597
 Bibcode:
 2020arXiv201109597B
 Keywords:

 Mathematics  Number Theory;
 11F46
 EPrint:
 Small revisions