Analytic Number Theory
American Mathematical Society (Verlag)
978-0-8218-7577-3 (ISBN)
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Jean-Marie De Koninck, Université Laval, Quebec, QC, Canada Florian Luca Universidad Nacional Autonoma de México, Morelia, Michoacan, México
Preface
Notation
Frequently used functions
Chapter 1. Preliminary notions
Chapter 2. Prime numbers and their properties
Chapter 3. The Riemann zeta function
Chapter 4. Setting the stage for the proof of the prime number theorem
Chapter 5. The proof of the prime number theorem
Chapter 6. The global behavior of arithmetic functions
Chapter 7. The local behavior of arithmetic functions
Chapter 8. The fascinating Euler function
Chapter 9. Smooth numbers
Chapter 10. The Hardy-Ramanujan and Landau theorems
Chapter 11. The 𝑎𝑏𝑐 conjecture and some of its applications
Chapter 12. Sieve methods
Chapter 13. Prime numbers in arithmetic progression
Chapter 14. Characters and the Dirichlet theorem
Chapter 15. Selected applications of primes in arithmetic progression
Chapter 16. The index of composition of an integer
Appendix. Basic complex analysis theory
Solutions to even-numbered problems
Bibliography
Index
Erscheint lt. Verlag | 13.9.2012 |
---|---|
Reihe/Serie | Graduate Studies in Mathematics |
Verlagsort | Providence |
Sprache | englisch |
Gewicht | 906 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie |
ISBN-10 | 0-8218-7577-9 / 0821875779 |
ISBN-13 | 978-0-8218-7577-3 / 9780821875773 |
Zustand | Neuware |
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