On the Minimum of Positive Definite Hermitian Forms
โ Scribed by Mahler, K.
- Book ID
- 120100229
- Publisher
- Oxford University Press
- Year
- 1939
- Tongue
- English
- Weight
- 185 KB
- Volume
- s1-14
- Category
- Article
- ISSN
- 0024-6107
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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 E/F be a CM extension of number fields, and L be a positive definite binary hermitian lattice over the ring of integers of E. An element in F is called an exception of L if it is represented by every localization of L but not by L itself. We show that if E/F and a positive integer k are given, t