Comptes Rendus
no. 2
Number theory
Growth of class numbers of positive definite ternary unimodular Hermitian lattices over imaginary number fields

Presented by: the Editorial Board

Byeong Moon Kim1; Poo-Sung Park2
1 Department of Mathematics, Gangnung-Wonju National University, Gangneung Daehangno 120, Gangneung City, Gangwon Province, 210-702, Republic of Korea
2 Department of Mathematics Education, Kyungnam University, Changwon, 631-701, Republic of Korea
Comptes Rendus. Mathématique, Volume 355 (2017) no. 2, pp. 119-122.

We give a lower bound for class numbers of unimodular ternary Hermitian lattices over imaginary quadratic fields. This shows that class numbers of unimodular Hermitian lattices grow infinitely as the field discriminants grow.

Nous donnons une borne inférieure pour le nombre de classes de réseaux ternaires hermitiens unimodulaires sur corps quadratique imaginaire. Cela montre que le nombre de classes de réseaux unimodulaires hermitienne tend vers l'infini avec le discriminant du corps.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2016.12.008

Byeong Moon Kim 1; Poo-Sung Park 2

1 Department of Mathematics, Gangnung-Wonju National University, Gangneung Daehangno 120, Gangneung City, Gangwon Province, 210-702, Republic of Korea
2 Department of Mathematics Education, Kyungnam University, Changwon, 631-701, Republic of Korea 
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Byeong Moon Kim; Poo-Sung Park. Growth of class numbers of positive definite ternary unimodular Hermitian lattices over imaginary number fields. Comptes Rendus. Mathématique, Volume 355 (2017) no. 2, pp. 119-122. doi : 10.1016/j.crma.2016.12.008. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.12.008/

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