Beurling generalized numbers / Harold G. Diamond, Wen-Bin Zhang (Cheung Man Ping).

Format:

Book

Author/Creator:

Diamond, Harold G., 1940-

Contributor:

Zhang, Wen-Bin, 1940-

Series:

Mathematical surveys and monographs ; v. 213.

Mathematical Surveys and Monographs, 2331-7159 ; v. 213

Language:

English

Subjects (All):

Numbers, Prime.

Numbers, Real.

Riemann hypothesis.

Physical Description:

1 online resource (xi, 244 pages).

Other Title:

Mathematical Surveys and Monographs.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2016]

System Details:

Mode of access : World Wide Web

text file

Contents:

Chapter 1. Overview Chapter 2. Analytic machinery Chapter 3. $\mathbf {dN}$ as an exponential and Chebyshev's identity Chapter 4. Upper and lower estimates of $\mathbf {N(x)}$ Chapter 5. Mertens' formulas and logarithmic density Chapter 6. O-density of g-integers Chapter 7. Density of g-integers Chapter 8. Simple estimates of $\mathbf {\pi (x)}$ Chapter 9. Chebyshev bounds

Elementary theory Chapter 10. Wiener-Ikehara Tauberian theorems Chapter 11. Chebyshev bounds

Analytic methods Chapter 12. Optimality of a Chebyshev bound Chapter 13. Beurling's PNT Chapter 14. Equivalences to the PNT Chapter 15. Kahane's PNT Chapter 16. PNT with remainder Chapter 17. Optimality of the dlVP remainder term Chapter 18. The Dickman and Buchstab functions

Notes:

Includes bibliographical references and index.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2016

Description based on print version record.

Other Format:

Print version: Diamond, Harold G., 1940- Beurling generalized numbers /

ISBN:

9781470435387

Access Restriction:

Restricted for use by site license.