Geared toward advanced undergraduates and graduate students, this text starts with the fundamentals of number theory and advances to an intermediate level. It explores evolutions from the notion of congruence, examines a variety of applications related to counting problems, and develops the roots of number theory. 1983 edition. Reprint of the John Wiley & Sons, Inc., New York, 1983 edition.
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Riemann’s Zeta Function by H. M. Edwards Superb study of the landmark 1859 publication entitled "On the Number of Primes Less Than a Given Magnitude" traces the developments in mathematical theory that it inspired. Topics include Riemann's main formula, the Riemann-Siegel formula, more.
Fundamentals of Number Theory by William J. LeVeque Basic treatment, incorporating language of abstract algebra and a history of the discipline. Unique factorization and the GCD, quadratic residues, sums of squares, much more. Numerous problems. Bibliography. 1977 edition.