Analytic Number Theory

An Introductory Course(Reprinted 2009)

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Number Theory
Cover of the book Analytic Number Theory by Paul T Bateman, Harold G Diamond, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Paul T Bateman, Harold G Diamond ISBN: 9789814365567
Publisher: World Scientific Publishing Company Publication: September 7, 2004
Imprint: WSPC Language: English
Author: Paul T Bateman, Harold G Diamond
ISBN: 9789814365567
Publisher: World Scientific Publishing Company
Publication: September 7, 2004
Imprint: WSPC
Language: English

This valuable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative arithmetic functions. Both real variable (”elementary”) and complex variable (”analytic”) methods are employed. The reader is assumed to have knowledge of elementary number theory (abstract algebra will also do) and real and complex analysis. Specialized analytic techniques, including transform and Tauberian methods, are developed as needed.

Comments and corrigenda for the book are found at http://www.math.uiuc.edu/~diamond/.

Contents:

  • Calculus of Arithmetic Functions
  • Summatory Functions
  • The Distribution of Prime Numbers
  • An Elementary Proof of the PNT
  • Dirichlet Series and Mellin Transforms
  • Inversion Formulas
  • The Riemann Zeta Function
  • Primes in Arithmetic Progressions
  • Applications of Characters
  • Oscillation Theorems
  • Sieves
  • Application of Sieves
  • Appendix: Results from Analysis and Algebra

Readership: Graduate students, academics and researchers interested in analytic number theory.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This valuable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative arithmetic functions. Both real variable (”elementary”) and complex variable (”analytic”) methods are employed. The reader is assumed to have knowledge of elementary number theory (abstract algebra will also do) and real and complex analysis. Specialized analytic techniques, including transform and Tauberian methods, are developed as needed.

Comments and corrigenda for the book are found at http://www.math.uiuc.edu/~diamond/.

Contents:

Readership: Graduate students, academics and researchers interested in analytic number theory.

More books from World Scientific Publishing Company

Cover of the book Arithmetic for Parents by Paul T Bateman, Harold G Diamond
Cover of the book A Physicist's View of Matter and Mind by Paul T Bateman, Harold G Diamond
Cover of the book Coronary CT Angiography in the Quantitative Analysis of Coronary Plaques by Paul T Bateman, Harold G Diamond
Cover of the book The South China Sea Disputes by Paul T Bateman, Harold G Diamond
Cover of the book The Socio-Economic Approach to Management by Paul T Bateman, Harold G Diamond
Cover of the book Tan Lark Sye by Paul T Bateman, Harold G Diamond
Cover of the book Advanced Therapies in Regenerative Medicine by Paul T Bateman, Harold G Diamond
Cover of the book Planetary Habitability and Stellar Activity by Paul T Bateman, Harold G Diamond
Cover of the book Lasers in 3D Printing and Manufacturing by Paul T Bateman, Harold G Diamond
Cover of the book Math in Economics by Paul T Bateman, Harold G Diamond
Cover of the book Women, Work and Welfare in the Middle East and North Africa by Paul T Bateman, Harold G Diamond
Cover of the book Bridges Over Water by Paul T Bateman, Harold G Diamond
Cover of the book Market Practice in Financial Modelling by Paul T Bateman, Harold G Diamond
Cover of the book Research on the Physics of Cancer by Paul T Bateman, Harold G Diamond
Cover of the book Handbook of Disaster Risk Reduction & Management by Paul T Bateman, Harold G Diamond
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy