Integral Equivalence of Quadratic Forms in Local Fields of Characteristic 2
Author : Chih-han Sah
Publisher :
Page : 164 pages
File Size : 20,91 MB
Release : 1959
Category : Forms, Quadratic
ISBN :
Author : Chih-han Sah
Publisher :
Page : 164 pages
File Size : 20,91 MB
Release : 1959
Category : Forms, Quadratic
ISBN :
Author : Yuanhua Wang
Publisher : American Mathematical Soc.
Page : 104 pages
File Size : 49,9 MB
Release : 2008
Category : Mathematics
ISBN : 0821841661
The purpose of this paper is to establish the spinor genus theory of quadratic forms over global function fields in characteristic 2. The first part of the paper computes the integral spinor norms and relative spinor norms. The second part of the paper gives a complete answer to the integral representations of one quadratic form by another with more than four variables over a global function field in characteristic 2.
Author : Bruce Richard Buzby
Publisher :
Page : 84 pages
File Size : 40,34 MB
Release : 1960
Category :
ISBN :
Author :
Publisher :
Page : 1110 pages
File Size : 14,64 MB
Release : 1965
Category : Mathematics
ISBN :
Author : J. W. S. Cassels
Publisher : Courier Dover Publications
Page : 429 pages
File Size : 25,89 MB
Release : 2008-08-08
Category : Mathematics
ISBN : 0486466701
Exploration of quadratic forms over rational numbers and rational integers offers elementary introduction. Covers quadratic forms over local fields, forms with integral coefficients, reduction theory for definite forms, more. 1968 edition.
Author : Michel L. Racine
Publisher : American Mathematical Soc.
Page : 134 pages
File Size : 44,61 MB
Release : 1973
Category : Mathematics
ISBN : 0821818368
The first step in obtaining an arithmetic theory for finite dimensional quadratic Jordan algebras over the quotient field of a Dedekind ring is the determination of maximal orders. This is the main concern of this paper. Jordan analogues of some of the first theorems in classical associative arithmetic are obtained. For special quadratic Jordan algebras, the problem of determining maximal orders is reduced to arithmetic questions in quadratic forms and associative algebras with involution. The number of isomorphism classes of maximal orders is computed for most central simple quadratic Jordan algebras over a local field. In the process, previous results of Knebusch are obtained in a uniform fashion and are extended to the case of algebras over fields of characteristic 2 and 3.
Author : Onorato Timothy O’Meara
Publisher : Springer
Page : 354 pages
File Size : 11,76 MB
Release : 2013-12-01
Category : Mathematics
ISBN : 366241922X
Author : Krishnaswami Alladi
Publisher : Springer Science & Business Media
Page : 303 pages
File Size : 20,93 MB
Release : 2013-08-13
Category : Mathematics
ISBN : 1461474884
In the last decade, the areas of quadratic and higher degree forms have witnessed dramatic advances. This volume is an outgrowth of three seminal conferences on these topics held in 2009, two at the University of Florida and one at the Arizona Winter School. The volume also includes papers from the two focused weeks on quadratic forms and integral lattices at the University of Florida in 2010.Topics discussed include the links between quadratic forms and automorphic forms, representation of integers and forms by quadratic forms, connections between quadratic forms and lattices, and algorithms for quaternion algebras and quadratic forms. The book will be of interest to graduate students and mathematicians wishing to study quadratic and higher degree forms, as well as to established researchers in these areas. Quadratic and Higher Degree Forms contains research and semi-expository papers that stem from the presentations at conferences at the University of Florida as well as survey lectures on quadratic forms based on the instructional workshop for graduate students held at the Arizona Winter School. The survey papers in the volume provide an excellent introduction to various aspects of the theory of quadratic forms starting from the basic concepts and provide a glimpse of some of the exciting questions currently being investigated. The research and expository papers present the latest advances on quadratic and higher degree forms and their connections with various branches of mathematics.
Author : O. Timothy O'Meara
Publisher : Springer Science & Business Media
Page : 356 pages
File Size : 34,72 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 3642620310
From the reviews: "Anyone who has heard O'Meara lecture will recognize in every page of this book the crispness and lucidity of the author's style. [...] The organization and selection of material is superb. [...] deserves high praise as an excellent example of that too-rare type of mathematical exposition combining conciseness with clarity." Bulletin of the AMS
Author : Alfred Clebsch
Publisher :
Page : 468 pages
File Size : 24,45 MB
Release : 1968
Category : Mathematics
ISBN :