Quadratic Residues and Non-Residues Selected Topics
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Sprache:Englisch
Fr. 79.90
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Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
15.11.2016
Abbildungen
XIII, 292 p. 20 illus.
Verlag
SpringerSeitenzahl
292
Maße (L/B/H)
23.5/15.5/1.7 cm
Gewicht
470 g
Auflage
1st ed. 2016
Sprache
Englisch
ISBN
978-3-319-45954-7
This book offers an account of the classical theory of quadratic residues and non-residues with the goal of using that theory as a lens through which to view the development of some of the fundamental methods employed in modern elementary, algebraic, and analytic number theory.
The first three chapters present some basic facts and the history of quadratic residues and non-residues and discuss various proofs of the Law of Quadratic Reciprosity in depth, with an emphasis on the six proofs that Gauss published. The remaining seven chapters explore some interesting applications of the Law of Quadratic Reciprocity, prove some results concerning the distribution and arithmetic structure of quadratic residues and non-residues, provide a detailed proof of Dirichlet’s Class-Number Formula, and discuss the question of whether quadratic residues are randomly distributed. The text is a valuable resource for graduate and advanced undergraduate students as well as for mathematicians interested in number theory.Noch keine Bewertungen vorhanden
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