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Beurling generalized numbers / Harold G. Diamond, Wen-Bin Zhang (Cheung Man Ping)
(Mathematical Surveys and Monographs. ISSN:23317159 ; v. 213)

出版者 (Providence, Rhode Island : American Mathematical Society)
出版年 [2016]
大きさ 1 online resource (xi, 244 pages)
著者標目 *Diamond, Harold G. 1940-
Zhang, Wen-Bin 1940-
件 名 LCSH:Numbers, Prime
LCSH:Numbers, Real
LCSH:Riemann hypothesis
FREE:Number theory -- Multiplicative number theory -- Generalized primes and integers  全ての件名で検索
内容注記 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
Chapter 10. Wiener-Ikehara Tauberian theorems
Chapter 11. Chebyshev bounds
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
一般注記 Includes bibliographical references and index
Access is restricted to licensed institutions
Electronic reproduction Providence, Rhode Island American Mathematical Society 2016
Mode of access : World Wide Web
Description based on print version record
HTTP:URL=http://www.ams.org/surv/213 Information=Contents
HTTP:URL=https://doi.org/10.1090/surv/213 Information=Contents
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Mathematical Surveys and Monographs 9781470435387
電子リソース
EB00103214

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データ種別 電子ブック
分 類 LCC:QA246
DC23:512/.2
書誌ID 4000113141
ISBN 9781470435387

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