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Quadratic number theory : an invitation to algebraic methods in the higher arithmetic / J.L. Lehman
(Dolciani Mathematical Expositions ; v. 52)

出版者 Providence, Rhode Island : MAA Press, an imprint of the American Mathematical Society
出版年 [2019]
大きさ 1 online resource (xiii, 394 pages : illustrations)
著者標目 *Lehman, J. L 1957- author
件 名 LCSH:Algebraic number theory
LCSH:Number theory
LCSH:Quadratic fields
LCSH:Algebraic fields
FREE:Number theory -- Algebraic number theory: global fields -- Quadratic extensions  全ての件名で検索
FREE:Number theory -- Algebraic number theory: global fields -- Class numbers, class groups, discriminants  全ての件名で検索
FREE:Number theory -- Algebraic number theory: global fields -- Units and factorization  全ての件名で検索
FREE:Number theory -- Forms and linear algebraic groups -- Sums of squares and representations by other particular quadratic forms  全ての件名で検索
FREE:Number theory -- Forms and linear algebraic groups -- General binary quadratic forms  全ての件名で検索
FREE:Number theory -- Elementary number theory -- Continued fractions  全ての件名で検索
FREE:Number theory -- Sequences and sets -- Sequences (mod $m$)  全ての件名で検索
FREE:Number theory -- Computational number theory -- Algebraic number theory computations  全ての件名で検索
内容注記 Introduction: A brief review of elementary number theory
Gaussian integers and sums of two squares
Quadratic domains
Ideals of quadratic domains
Quadratic forms
Correspondence between forms and ideals
Class groups of negative discriminant
Representations by positive definite forms
Class groups of quadratic subdomains
Continued fractions
Class groups of positive discriminant
Representations by indefinite forms
Properties of recursive sequences
Applications of quadratic recursive sequences
Concluding remarks
一般注記 Includes an index
Access is restricted to licensed institutions
Electronic reproduction Providence, Rhode Island American Mathematical Society 2019
Mode of access : World Wide Web
Description based on print version record
HTTP:URL=https://www.ams.org/dol/052 Information=Contents
HTTP:URL=https://doi.org/10.1090/dol/052 Information=Contents
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AMS ebooks 9781470451554
電子リソース
EB00196102
電子ブック オンライン 電子ブック


AMS ebooks 9781470451554
電子リソース
EB00196103

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データ種別 電子ブック
分 類 LCC:QA247
DC23:512.7/4
書誌ID 4000141766
ISBN 9781470451554

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