Amazon cover image
Image from Amazon.com

Analytic number theory

By: Contributor(s): Material type: TextTextLanguage: English Series: American Mathematical Society colloquium publications ; 53Publication details: Providence American Mathematical Society 2004Description: ix, 615pISBN:
  • 0821836331 (HB)
Subject(s):
Contents:
Ch. 1. Arithmetic functions Ch. 2. Elementary theory of prime numbers Ch. 3. Characters Ch. 4. Summation formulas Ch. 5. Classical analytic theory of L-functions Ch. 6. Elementary sieve methods Ch. 7. Bilinear forms and the large sieve Ch. 8. Exponential sums Ch. 9. The Dirichlet polynomials Ch. 10. Zero density estimates Ch. 11. Sums over finite fields Ch. 12. Character sums Ch. 13. Sums over primes Ch. 14. Holomorphic modular forms Ch. 15. Spectral theory of automorphic forms Ch. 16. Sums of Kloosterman sums Ch. 17. Primes in arithmetic progressions Ch. 18. The least prime in an arithmetic progression Ch. 19. The Goldbach problem Ch. 20. The circle method Ch. 21. Equidistribution Ch. 22. Imaginary quadratic fields Ch. 23. Effective bounds for the class number Ch. 24. The critical zeros of the Riemann zeta function Ch. 25. The spacing of the zeros of the Riemann zeta-function.Ch. 26. Central values of L-functions.
Summary: The book is written with graduate students in mind, and the authors tried to balance between clarity, completeness, and generality. The exercises in each section serve a dual purpose, with some intended to improve the reader's understanding of the subject and others providing additional information.
Item type: BOOKS
Tags from this library: No tags from this library for this title. Log in to add tags.
Star ratings
    Average rating: 0.0 (0 votes)
Holdings
Current library Home library Call number Materials specified Status Date due Barcode
IMSc Library IMSc Library 511 IWA (Browse shelf(Opens below)) Checked out 14/12/2023 59633
IMSc Library IMSc Library 511.3 IWA (Browse shelf(Opens below)) Available 59632

Includes index

Includes bibliographical references

Ch. 1. Arithmetic functions Ch. 2. Elementary theory of prime numbers Ch. 3. Characters Ch. 4. Summation formulas Ch. 5. Classical analytic theory of L-functions Ch. 6. Elementary sieve methods Ch. 7. Bilinear forms and the large sieve Ch. 8. Exponential sums Ch. 9. The Dirichlet polynomials Ch. 10. Zero density estimates Ch. 11. Sums over finite fields Ch. 12. Character sums Ch. 13. Sums over primes Ch. 14. Holomorphic modular forms Ch. 15. Spectral theory of automorphic forms Ch. 16. Sums of Kloosterman sums Ch. 17. Primes in arithmetic progressions Ch. 18. The least prime in an arithmetic progression Ch. 19. The Goldbach problem Ch. 20. The circle method Ch. 21. Equidistribution Ch. 22. Imaginary quadratic fields Ch. 23. Effective bounds for the class number Ch. 24. The critical zeros of the Riemann zeta function Ch. 25. The spacing of the zeros of the Riemann zeta-function.Ch. 26. Central values of L-functions.

The book is written with graduate students in mind, and the authors tried to balance between clarity, completeness, and generality. The exercises in each section serve a dual purpose, with some intended to improve the reader's understanding of the subject and others providing additional information.

There are no comments on this title.

to post a comment.
The Institute of Mathematical Sciences, Chennai, India