Computing zeta functions of table algebra orders using local zeta integrals

DOI10.1007/s00009-023-02316-2OpenAlexW4321238218MaRDI QIDQ2686145

Angelica Babei, Allen Herman

Publication date: 24 February 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.04784

zbMATH Keywords

ordersassociation schemeszeta functionszeta integralsintegral adjacency algebras

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Other algebras and orders, and their zeta and (L)-functions (11R54) Algebras and orders, and their zeta functions (11S45)

Cites Work

• Unnamed Item
• Zeta functions of adjacency algebras of association schemes of prime order or rank two
• Table algebras
• Corrections to my paper Zeta functions of integral group rings of metacyclic groups
• Zeta functions of arithmetic orders and Solomon's conjectures
• Zeta functions of integral group rings of metacyclic groups
• Zeta functions and integral representation theory
• Zeta functions of integral representations of cyclic \(p\)-groups.
• The number of ideals of \(\mathbb{Z} [x\) containing \(x(x-\alpha)(x-\beta)\) with given index]
• Units of classical orders: A survey
• Generalized table algebras
• Zeta functions of non-maximal orders in rational semisimple algebras
• Zeta Functions of Lattices of the Symmetric Group
• Zeta functions of integral group rings of abelian (p,p)-groups
• Zeta functions for tensor products of locally coprime integral adjacency algebras of association schemes
• Orders of torsion units of integral reality-based algebras with rational multiplicities
• Computing local zeta functions of groups, algebras, and modules

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