Growth of class numbers of positive definite ternary unimodular Hermitian lattices over imaginary number fields

DOI10.1016/j.crma.2016.12.008zbMath1367.11043OpenAlexW2561438054MaRDI QIDQ514375

Byeong Moon Kim, Poo-Sung Park

Publication date: 1 March 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2016.12.008

zbMATH Keywords

imaginary quadratic fieldsclass numbersdiscriminantsunimodular Hermitian lattices

Mathematics Subject Classification ID

Bilinear and Hermitian forms (11E39) Class numbers of quadratic and Hermitian forms (11E41)

Cites Work

• Unnamed Item
• Classification of Hermitian forms with the neighbour method
• Representations of positive definite Hermitian forms with approximation and primitive properties
• Arithmetic of unitary groups
• Estimation de la fonction de Tchebychef θ sur le k-ième nombre premier et grandes valeurs de la fonction ω(n) nombre de diviseurs premiers de n
• Integral Decomposition of Hermitian Forms
• A finiteness theorem for representability of quadratic forms by forms
• Integral representations of hermitian forms over local fields.
• Class numbers of positive definite binary and ternary unimodular Hermitian forms
• 2-universal Hermitian lattices over imaginary quadratic fields

This page was built for publication: Growth of class numbers of positive definite ternary unimodular Hermitian lattices over imaginary number fields