Quadratic Residues and Non Residues is popular PDF and ePub book, written by Steve Wright in 2016-11-11, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Quadratic Residues and Non Residues can be Read Online from any device for your convenience.
Quadratic Residues and Non Residues Book PDF Summary
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.
Detail Book of Quadratic Residues and Non Residues PDF
- Author : Steve Wright
- Release : 11 November 2016
- Publisher : Springer
- ISBN : 9783319459554
- Genre : Mathematics
- Total Page : 300 pages
- Language : English
- PDF File Size : 14,6 Mb
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