Hugh L. Montgomery, Robert C. Vaughan

Multiplicative Number Theory I

Classical Theory

• Broschiertes Buch

Produktbeschreibung

A 2006 text based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 572
• Erscheinungstermin: 13. April 2012
• Englisch
• Abmessung: 229mm x 152mm x 34mm
• Gewicht: 917g
• ISBN-13: 9781107405820
• ISBN-10: 1107405823
• Artikelnr.: 35898286

Inhaltsangabe

Preface
Notation
1. Dirichlet series-I
2. The elementary theory of arithmetic functions
3. Principles and first examples of sieve methods
4. Primes in arithmetic progressions-I
5. Dirichlet series-II
6. The prime number theorem
7. Applications of the prime number theorem
8. Further discussion of the prime number theorem
9. Primitive characters and Gauss sums
10. Analytic properties of the zeta function and L-functions
11. Primes in arithmetic progressions-II
12. Explicit formulae
13. Conditional estimates
14. Zeros
15. Oscillations of error terms
Appendix A. The Riemann-Stieltjes integral
Appendix B. Bernoulli numbers and the Euler-MacLaurin summation formula
Appendix C. The gamma function
Appendix D. Topics in harmonic analysis.