Zeta functions and composition factors for arithmetic orders

DOI10.1007/BF01162247zbMath0613.12010MaRDI QIDQ1088725

Colin J. Bushnell, Irving Reiner

Publication date: 1987

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173845

zbMATH Keywords

functional equationsgroup ringszeta-functionsarithmetic ordercomposition factors of \(\Lambda \)-modulesfinite-dimensional semisimple \({bbfQ}\)- algebra

Mathematics Subject Classification ID

Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Algebras and orders, and their zeta functions (11S45)

Related Items (2)

Zeta Functions of Burnside Rings of Groups of Orderpandp² ⋮ A proof of Solomon's second conjecture on local zeta functions of orders

Cites Work

• Zeta functions of arithmetic orders and Solomon's conjectures
• The prime ideal theorem in non-commutative arithmetic
• LEFT-VS-RIGHT ZETA-FUNCTIONS
• Functional equations for L-functions of arithmetic orders.
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