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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.
Brzezinski, Juliusz. "A generalization of Eichler's trace formula.." Collectanea Mathematica 48.1-2 (1997): 53-61. <http://eudml.org/doc/40451>.
@article{Brzezinski1997, abstract = {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.}, author = {Brzezinski, Juliusz}, journal = {Collectanea Mathematica}, keywords = {Cuaterniones; Traza de una matriz; Algebra prima; Algoritmos numéricos; Generalización; Eichler's trace formula; Berndt-Eichler matrices}, language = {eng}, number = {1-2}, pages = {53-61}, title = {A generalization of Eichler's trace formula.}, url = {http://eudml.org/doc/40451}, volume = {48}, year = {1997}, }
TY - JOUR AU - Brzezinski, Juliusz TI - A generalization of Eichler's trace formula. JO - Collectanea Mathematica PY - 1997 VL - 48 IS - 1-2 SP - 53 EP - 61 AB - 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. LA - eng KW - Cuaterniones; Traza de una matriz; Algebra prima; Algoritmos numéricos; Generalización; Eichler's trace formula; Berndt-Eichler matrices UR - http://eudml.org/doc/40451 ER -