Revistes Catalanes amb Accés Obert (RACO)

A generalization of Eichler's trace formula

Juliusz Brzezinski

Resum


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.

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