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This book gives a problem-solving approach to the difficult subject of analytic number theory. It is primarily aimed at graduate students and senior undergraduates. The goal is to provide a rapid introduction to analytic methods and the ways in which they are used to study the distribution of prime numbers. The book also includes an introduction to p-adic analytic methods. It is ideal for a first course in analytic number theory. The new edition has been completely rewritten, errors have been corrected, and there is a new chapter on equidistribution. About the first edition: "...this monograph gives important results and techniques for specific topics, together with many exercises; it is not possible to describe adequately the wealth of material covered in this book." - Wolfgang Schwarz, Zentralblatt.

511.3 --- Analytical, additive and other number-theory problems. Diophantine approximations --- 511.3 Analytical, additive and other number-theory problems. Diophantine approximations --- Number theory --- Number study --- Numbers, Theory of --- Algebra --- Number theory. --- Number Theory. --- Nombres, Théorie des --- Theorie des nombres --- Problemes et exercices

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Nombres, Théorie des --- Nombres algébriques, Théorie des --- Nombres transcendants --- Mathematiques --- Theorie des nombres --- Problemes et exercices

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Algebraic number theory --- 511.6 --- Number theory --- 511.6 Algebraic number fields --- Algebraic number fields

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L-functions.