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Smooth lattices over quadratic integers

✍ Scribed by J. Brzeziński; H. Granath; S. Lemurell

Book ID
105875104
Publisher
Springer-Verlag
Year
2007
Tongue
French
Weight
372 KB
Volume
258
Category
Article
ISSN
0025-5874

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📜 SIMILAR VOLUMES

Separable free quadratic algebras over q
Separable free quadratic algebras over quadratic integers
✍ J. Browkin; J. Brzeziński 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 198 KB

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.

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