Eichler's trace formula for traces of the Brandt-Eichler matrices is proved for arbitrary totally definite orders in central simple algebras of prime index over global fields. A formula for type numbers of such orders is proved as an application.
@article{urn:eudml:doc:40451,
title = {A generalization of Eichler's trace formula.},
journal = {Collectanea Mathematica},
volume = {48},
year = {1997},
pages = {53-61},
zbl = {0879.11067},
mrnumber = {MR1464016},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40451}
}
Brzezinski, Juliusz. A generalization of Eichler's trace formula.. Collectanea Mathematica, Tome 48 (1997) pp. 53-61. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40451/