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

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10.1017/S1446788715000440

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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",

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year = "2016",

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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 .

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KW - Quadratic forms

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

Abstract

Keywords

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