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Separable free quadratic algebras over quadratic integers

✍ Scribed by J. Browkin; J. Brzeziński

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
198 KB
Volume
109
Category
Article
ISSN
0022-314X

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✦ Synopsis

The aim of the paper is to determine all free separable quadratic algebras over the rings of integers of quadratic fields in terms of the properties of the fundamental unit in the real case. The paper corrects some earlier published results on the subject.

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Representation of Integers by Positive D
Representation of Integers by Positive Definite Binary Hermitian Lattices over Imaginary Quadratic Fields
✍ A.G. Earnest; Azar Khosravani 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 609 KB

Let L be a positive definite binary integral hermitian lattice over an imaginary quadratic field, and let E(L) denote the number of integers (possibly infinite) which are represented by all localizations of L but not by L itself. It is shown that E(L) tends to infinity as the volume of L tends to in