Author | Murty, M. Ram. author |
---|---|

Title | Problems in Analytic Number Theory [electronic resource] / by M. Ram Murty |

Imprint | New York, NY : Springer New York : Imprint: Springer, 2001 |

Connect to | http://dx.doi.org/10.1007/978-1-4757-3441-6 |

Descript | XVI, 456 p. online resource |

SUMMARY

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

CONTENT

I Problems -- 1 Arithmetic Functions -- 2 Primes in Arithmetic Progressions -- 3 The Prime Number Theorem -- 4 The Method of Contour Integration -- 5 Functional Equations -- 6 Hadamard Products -- 7 Explicit Formulas -- 8 The Selberg Class -- 9 Sieve Methods -- 10 p-adic Methods -- II Solutions -- 1 Arithmetic Functions -- 2 Primes in Arithmetic Progressions -- 3 The Prime Number Theorem -- 4 The Method of Contour Integration -- 5 Functional Equations -- 6 Hadamard Products -- 7 Explicit Formulas -- 8 The Selberg Class -- 9 Sieve Methods -- 10 p-adic Methods -- References

Mathematics
Number theory
Mathematics
Number Theory