Spectral correspondences for Maass waveforms on quaternion groups
Artikel i vetenskaplig tidskrift, 2016
We prove that in most cases the Jacquet-Langlands correspondence between newforms for Hecke congruence groups and newforms for quaternion orders is a bijection. Our proof covers almost all cases where the Hecke congruence group is of cocompact type, i.e. when a bijection is possible. The proof uses the Selberg trace formula.
newforms
theta-series
algebras
Hecke congruence groups
Hecke operators
Selberg trace formula
orders
Newforms
Maass waveforms
Mathematics
Författare
T. R. Blackman
Massachusetts Institute of Technology
Stefan Lemurell
Chalmers, Matematiska vetenskaper, Matematik
Göteborgs universitet
Journal of Number Theory
0022-314X (ISSN) 1096-1658 (eISSN)
Vol. 158 1-22Ämneskategorier (SSIF 2011)
Matematik
Fundament
Grundläggande vetenskaper
DOI
10.1016/j.jnt.2015.05.017