Problems in Analytic Number Theory

M. Ram Murty (Autor)

Buch | Hardcover

468 Seiten

2001
Springer-Verlag New York Inc.
978-0-387-95143-0 (ISBN)

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Gives a problem-solving approach to the difficult subject of analytic number theory. This book aims to provide a rapid introduction to analytic methods and the ways in which they are used to study the distribution of prime numbers. It includes an introduction to p-adic analytic methods. It is intended for graduate students.

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.

Arithmetic Functions.- Primes in Arithmetic Progressions.- The Prime Number Theorem.- The Method of Contour Integration.- Functional Equations.- Hadamard Products.- Explicit Formulas.- The Selberg Class.- Sieve Methods.- p-adic Methods.- References.

Erscheint lt. Verlag	1.1.2001
Reihe/Serie	Graduate Texts in Mathematics ; v. 206
Zusatzinfo	references
Verlagsort	New York, NY
Sprache	englisch
Maße	156 x 234 mm
Einbandart	gebunden
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
ISBN-10	0-387-95143-1 / 0387951431
ISBN-13	978-0-387-95143-0 / 9780387951430
Zustand	Neuware