Representations of integers by the binary quadratic form x2+xy+ny2

Bumkyu Cho

doi:10.1017/S1446788715000440

Representations of integers by the binary quadratic form x²+xy+ny²

Bumkyu Cho

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In terms of class field theory we give a necessary and sufficient condition for an integer to be representable by the quadratic form ( arbitrary) under extra conditions, on the variables. We also give some examples where their extended ring class numbers are less than or equal to .

Original language	English
Pages (from-to)	182-191
Number of pages	10
Journal	Journal of the Australian Mathematical Society
Volume	100
Issue number	2
DOIs	https://doi.org/10.1017/S1446788715000440
State	Published - Apr 2016

Keywords

class field theory
Quadratic forms

Access to Document

10.1017/S1446788715000440

Cite this

@article{99876f0369d645268928526900d9a20f,

title = "Representations of integers by the binary quadratic form x2+xy+ny2",

abstract = "In terms of class field theory we give a necessary and sufficient condition for an integer to be representable by the quadratic form ( arbitrary) under extra conditions, on the variables. We also give some examples where their extended ring class numbers are less than or equal to .",

keywords = "class field theory, Quadratic forms",

author = "Bumkyu Cho",

note = "Publisher Copyright: {\textcopyright} 2015 Australian Mathematical Publishing Association Inc.",

year = "2016",

month = apr,

doi = "10.1017/S1446788715000440",

language = "English",

volume = "100",

pages = "182--191",

journal = "Journal of the Australian Mathematical Society",

issn = "1446-7887",

publisher = "Cambridge University Press",

number = "2",

}

TY - JOUR

T1 - Representations of integers by the binary quadratic form x2+xy+ny2

AU - Cho, Bumkyu

PY - 2016/4

Y1 - 2016/4

N2 - In terms of class field theory we give a necessary and sufficient condition for an integer to be representable by the quadratic form ( arbitrary) under extra conditions, on the variables. We also give some examples where their extended ring class numbers are less than or equal to .

AB - In terms of class field theory we give a necessary and sufficient condition for an integer to be representable by the quadratic form ( arbitrary) under extra conditions, on the variables. We also give some examples where their extended ring class numbers are less than or equal to .

KW - class field theory

KW - Quadratic forms

UR - http://www.scopus.com/inward/record.url?scp=84947605732&partnerID=8YFLogxK

U2 - 10.1017/S1446788715000440

DO - 10.1017/S1446788715000440

M3 - Article

AN - SCOPUS:84947605732

SN - 1446-7887

VL - 100

SP - 182

EP - 191

JO - Journal of the Australian Mathematical Society

JF - Journal of the Australian Mathematical Society

IS - 2

ER -

Representations of integers by the binary quadratic form x²+xy+ny²

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this