On arithmetic of certain matrix algebras

DOI10.3792/pjaa.71.19zbMath0868.11053OpenAlexW2071312971MaRDI QIDQ1898254

Hisaichi Midorikawa

Publication date: 19 August 1997

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.71.19

zbMATH Keywords

matrix algebras\(L\)-functionsDirichlet seriesregulatorunit groups\(\zeta\)-functionsideal class semigroups

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Algebraic systems of matrices (15A30) Other algebras and orders, and their zeta and (L)-functions (11R54)

Cites Work

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• Arithmetic of group representations
• On the number of regular elliptic conjugacy classes in the Siegel modular group of degree 2n
• Zeta functions of arithmetic orders and Solomon's conjectures
• Zeta functions of integral group rings of metacyclic groups
• Zeta functions and integral representation theory
• A correspondence between classes of ideals and classes of matrices
• On the \(\zeta\)-functions of a total matric algebra over the field of rational numbers
• Genera and decompositions of lattices over orders
• Über die Idealklassenzahl total definierter Quaternionenalgebren
• Neuer Beweis der Endlichkeit der Klassenzahl bei unimodularer Äquivalenz endlicher ganzzahliger Substitutionsgruppen
• L-functions of arithmetic orders and asymptotic distribution of ideals.
• Functional equations for L-functions of arithmetic orders.
• Locally free modules over arithmetic orders.
• On a Theorem of Latimer and Macduffee
• On The Equivalence Of Representations Of Finite Groups By Groups Of Automorphisms Of Modules Over Dedekind Rings

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