On certain elliptic conjugacy classes of the Siegel modular group

DOI10.3792/pjaa.61.74zbMath0572.10020OpenAlexW2065407828MaRDI QIDQ1062087

Ki-ichiro Hashimoto

Publication date: 1985

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.61.74

zbMATH Keywords

cyclotomic fieldHermitian formsclass numberSiegel modular groupcyclotomic polynomialelliptic conjugacy classesintegral conjugacy classes

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Structure of modular groups and generalizations; arithmetic groups (11F06) Cyclotomic extensions (11R18)

Related Items (2)

A formula for the number of semi-simple conjugacy classes in the arithmetic subgroups ⋮ Involutive modular transformations on the Siegel upper half plane and an application to representations of quadratic forms

Cites Work

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• Über die Fixpunkte der Siegelschen Modulgruppe
• On the number of regular elliptic conjugacy classes in the Siegel modular group of degree 2n
• A formula for the number of semi-simple conjugacy classes in the arithmetic subgroups
• Involutive modular transformations on the Siegel upper half plane and an application to representations of quadratic forms
• Arithmetic of unitary groups
• On isometries of inner product spaces
• Hermitian Forms Over Local Fields

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