A generalization of Eichler's trace formula.

Juliusz Brzezinski

Collectanea Mathematica (1997)

  • Volume: 48, Issue: 1-2, page 53-61
  • ISSN: 0010-0757

Abstract

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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.

How to cite

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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 -

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