๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Radix representations of quadratic fields

โœ Scribed by William J Gilbert


Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
608 KB
Volume
83
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Polygonal radix representations of compl
โœ Taoufik Safer ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 726 KB

Complex numbers can be represented in positional notation using certain digit sets. In this paper, we present the polygonal representation which uses zero and the n-roots of unity as digits. We give conditions on the base in order that every complex number be representable in such a system. We total

Quadratic representations for groups of
โœ Timothy Englund ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 427 KB

Suppose K is a field of characteristic two, G is a group of Lie type over K, and V is an irreducible KG-module. By the Steinberg Tensor Product Theorem, V โˆผ = iโˆˆI V i , where each V i is an algebraic conjugate of a restricted KG-module. If G contains a quadratically acting fours-group, then |I | 2.

Explicit Representation of Fundamental U
โœ Koshi Tomita ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 321 KB

In the preceding paper, (K. Tomita, Proc. Japan Acad. Ser. A Sci. Math. 71 (1995), 41 43), for all real quadratic fields Q(-d ) such that the period k d of the continued fraction expansion of d) and d itself by using two parameters appearing in the continued fraction expansion of | d ; In this paper

Representations by Quadratic Forms in a
โœ John D. Fulton ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 392 KB

Let F be a finite field of cliaracteristic two and'let F'xm and FIXn denote vector spaces of m-tuples and n-tuples, respectively, over P. Let Q be a quadratic form of rank m defined on FIXm and let Q, be a quadratic form of rank n defined on F I X n . Then relative to given ordered bases for .FIXm a