Class numbers of definite unimodular Hermitian forms over the rings of imaginary quadratic fields

DOI10.2748/tmj/1178227865zbMath0668.10029OpenAlexW2130484288MaRDI QIDQ1117970

Harutaka Koseki, Ki-ichiro Hashimoto

Publication date: 1989

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227865

zbMATH Keywords

conjugacy classesunitary groupSelberg trace formulaclass numbersmassesHermitian formunimodular Hermitian latticesgenera of \({\mathcal O}\)-latticeslower and an upper estimate

Mathematics Subject Classification ID

Quadratic forms over global rings and fields (11E12) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Class numbers of quadratic and Hermitian forms (11E41) Classical groups (11E57) General binary quadratic forms (11E16)

Related Items (8)

ON THE CLASSIFICATION OF EVEN UNIMODULAR LATTICES WITH A COMPLEX STRUCTURE ⋮ On the classification of lattices over \(\mathbb Q(\sqrt{-3})\), which are even unimodular \(\mathbb Z\)-lattices ⋮ The characteristic dimension of four-dimensional \({\mathcal{N}} = 2\) SCFTs ⋮ Steinitz classes and partial genera of unimodular lattices over imaginary-quadratic fields ⋮ Class numbers of positive definite binary and ternary unimodular Hermitian forms ⋮ Class numbers of positive definite binary and ternary unimodular Hermitian forms ⋮ On rational points of curves of genus 3 over finite fields ⋮ Spanning the isogeny class of a power of an elliptic curve

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