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Beurling generalized numbers / Harold G. Diamond, Wen-Bin Zhang (Cheung Man Ping)
(Mathematical Surveys and Monographs. ISSN:23317159 ; v. 213)
Publisher | (Providence, Rhode Island : American Mathematical Society) |
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Year | [2016] |
Size | 1 online resource (xi, 244 pages) |
Authors | *Diamond, Harold G. 1940- Zhang, Wen-Bin 1940- |
Subjects | LCSH:Numbers, Prime LCSH:Numbers, Real LCSH:Riemann hypothesis FREE:Number theory -- Multiplicative number theory -- Generalized primes and integers All Subject Search |
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 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 |
Notes | 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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E-Book | Location | Media type | Volume | Call No. | Status | Reserve | Comments | ISBN | Printed | Restriction | Designated Book | Barcode No. |
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E-Book | オンライン | 電子ブック |
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Mathematical Surveys and Monographs | 9781470435387 |
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EB00103214 |
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