Involutive modular transformations on the Siegel upper half plane and an application to representations of quadratic forms

DOI10.1016/0022-314X(86)90007-7zbMath0585.10017OpenAlexW2047269233MaRDI QIDQ1071048

Ki-ichiro Hashimoto, Robert J. Sibner

Publication date: 1986

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(86)90007-7

zbMATH Keywords

Hermitian formsconjugacy classes of elliptic transformationsHermitian forms ofmass formula forpositive symmetric integral matricesrank n

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Theta series; Weil representation; theta correspondences (11F27) Structure of modular groups and generalizations; arithmetic groups (11F06)

Related Items (3)

Even unimodular Gaussian lattices of rank 12 ⋮ On certain elliptic conjugacy classes of the Siegel modular group ⋮ A formula for the number of semi-simple conjugacy classes in the arithmetic subgroups

Cites Work

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• On certain elliptic conjugacy classes of the Siegel modular group
• A formula for the number of semi-simple conjugacy classes in the arithmetic subgroups
• The conjugacy classes in the unitary, symplectic and orthogonal groups over an algebraic number field
• Class numbers of definite Hermitian forms
• Representations of positive definite quadratic forms.

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