The minima of positive quaternary Hermitian forms
โ Scribed by A. Oppenheim
- Publisher
- Springer Vienna
- Year
- 1936
- Tongue
- English
- Weight
- 96 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0026-9255
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๐ SIMILAR VOLUMES
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 \
Let p>13 be a prime congruent to 1 modulo 4. Let G be the genus of a quaternary even positive definite Z-lattice of discriminant 4p whose 2-adic localization has a proper 2-modular Jordan component. We show that the orthogonal group of any lattice from G is generated by &1 and the symmetries with re