๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Computation of K2for the ring of integers of quadratic imaginary fields

โœ Scribed by Sheng Chen; Hong You


Publisher
SP Science China Press
Year
2001
Tongue
English
Weight
448 KB
Volume
44
Category
Article
ISSN
1674-7283

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Representation of Integers by Positive D
โœ A.G. Earnest; Azar Khosravani ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

8-Ranks ofK2of Rings of Integers in Quad
โœ A. Vazzana ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 156 KB

Let F be a quadratic extension of Q and O F the ring of integers in F. A result of Tate enables one to compute the 2-rank of K 2 O F in terms of the 2-rank of the class group. Formulas for the 4-rank of K 2 O F exist, but are more involved. We give upper and lower bounds on the 8-rank of K 2 O F in