Solomon’s conjectures and the local functional equation for zeta functions of orders

DOI10.1090/S0273-0979-1980-14745-XzbMath0444.12010OpenAlexW2029056642WikidataQ122983893 ScholiaQ122983893MaRDI QIDQ3887565

Colin J. Bushnell, Irving Reiner

Publication date: 1980

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1980-14745-x

zbMATH Keywords

Fourier analysis of local algebraslocal functional equation for zeta functions of ordersSolomon's conjectures

Mathematics Subject Classification ID

Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) 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 (4)

Subgroups of finite index in nilpotent groups ⋮ Counting finite index subgroups and the P. Hall enumeration principle ⋮ Zeta Functions of Burnside Rings of Groups of Orderpandp² ⋮ Unnamed Item

Cites Work

• Zeta functions of arithmetic orders and Solomon's conjectures
• Zeta functions and integral representation theory
• Zeta functions of simple algebras

This page was built for publication: Solomon’s conjectures and the local functional equation for zeta functions of orders