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

Publisher	(Providence, Rhode Island : MAA Press, an imprint of the American Mathematical Society)
Year	[2019]
Size	1 online resource (xiii, 394 pages : illustrations)
Authors	*Lehman, J. L 1957- author
Subjects	LCSH:Algebraic number theory LCSH:Number theory LCSH:Quadratic fields LCSH:Algebraic fields FREE:Number theory -- Algebraic number theory: global fields -- Quadratic extensions  All Subject Search FREE:Number theory -- Algebraic number theory: global fields -- Class numbers, class groups, discriminants  All Subject Search FREE:Number theory -- Algebraic number theory: global fields -- Units and factorization  All Subject Search FREE:Number theory -- Forms and linear algebraic groups -- Sums of squares and representations by other particular quadratic forms  All Subject Search FREE:Number theory -- Forms and linear algebraic groups -- General binary quadratic forms  All Subject Search FREE:Number theory -- Elementary number theory -- Continued fractions  All Subject Search FREE:Number theory -- Sequences and sets -- Sequences (mod $m$)  All Subject Search FREE:Number theory -- Computational number theory -- Algebraic number theory computations  All Subject Search
Contents	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
Notes	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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