Detailed Information
Cited 3 time in 
Cited 3 time in 
Cited 3 time in
Metadata Downloads
REPRESENTATIONS OF INTEGERS BY THE BINARY QUADRATIC FORM x(2) + xy plus ny(2)
- Authors
- Cho, Bumkyu
- Issue Date
- Apr-2016
- Publisher
- CAMBRIDGE UNIV PRESS
- Keywords
- quadratic forms; class field theory
- Citation
- JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, v.100, no.2, pp 182 - 191
- Pages
- 10
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY
- Volume
- 100
- Number
- 2
- Start Page
- 182
- End Page
- 191
- ISSN
- 1446-7887
1446-8107
- Abstract
- In terms of class field theory we give a necessary and sufficient condition for an integer to be representable by the quadratic form x(2) + xy + ny(2) (n is an element of N arbitrary) under extra conditions x equivalent to 1 mod m, y equivalent to 0 mod m on the variables. We also give some examples where their extended ring class numbers are less than or equal to 3.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - College of Natural Science > Department of Mathematics > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
Related Researcher
- Cho, Bum Kyu
- College of Natural Science (Department of Mathematics)