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This introductory textbook is designed to teach undergraduates the basic ideas and techniques of number theory, with special consideration to the principles of analytic number theory. The first five chapters treat elementary concepts such as divisibility, congruence and arithmetical functions. The topics in the next chapters include Dirichlet's theorem on primes in progressions, Gauss sums, quadratic residues, Dirichlet series, and Euler products with applications to the Riemann zeta function and Dirichlet L-functions. Also included is an introduction to partitions. Among the strong points of the book are its clarity of exposition and a collection of exercises at the end of each chapter. The first ten chapters, with the exception of one section, are accessible to anyone with knowledge of elementary calculus; the last four chapters require some knowledge of complex function theory including complex integration and residue calculus.
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Subjects
Number theory, Numbers, prime, MathematicsShowing 2 featured editions. View all 2 editions?
Edition | Availability |
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1
Introduction to Analytic Number Theory
2013, Springer London, Limited
in English
1475755791 9781475755794
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2
Introduction to Analytic Number Theory
Dec 01, 2010, Springer, Brand: Springer
paperback
1441928057 9781441928054
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Edition Notes
Source title: Introduction to Analytic Number Theory (Undergraduate Texts in Mathematics)
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2 days ago | Edited by MARC Bot | import existing book |
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