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On the unimodularity of minimal vectors of Humbert forms

✍ Scribed by R. Baeza; M. I. Icaza


Publisher
Springer
Year
2004
Tongue
English
Weight
103 KB
Volume
83
Category
Article
ISSN
0003-889X

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Let \(Q(\sqrt{-m})\left(m>0\right.\) and square free) be an imaginary quadratic field and \(D_{m}\) its ring of integers. It is proved that if any given natural numbers \(n\) and square-free \(m\) satisfying the condition \(m \equiv 1(\bmod 4)\) and \(4 \mid n\), or \(m \equiv 2(\bmod 4)\) and \(2 \