Beurling generalized numbers /

510MS
Am512

137676

Diamond, Harold G., Beurling generalized numbers / Harold G. Diamond, Wen-Bin Zhang (Cheung Man Ping). - Providence : American Mathematical Society, ©2016.
xi, 244 pages ; 26 cm. - (Mathematical surveys and monographs ; v 213.) Content notes : 1. Overview --
2. Analytic machinery --
3. dN as an exponential and Chebyshevs's identity --
4. Upper and lower estimates of N (x) --
5. Mertens' formulas and logarithmic density --
6. O-Density of g-integers --
7. Density of g-integers --
8. Simple estimates of pie (x) --
9. Chebyshev bounds-elementary theory --
10. Wiener-Ikehara tauberian theorems --
11. Chebyshev bounds-analytic methods --
12. Optimality of a Chebyshev bound --
13. Beurling's PNT --
14. Equivalences to th PNT --
15. Kahane's PNT --
16. PNT with remainder --
17. Optimality of the dIVP remainder term --
18. The Dickman and Buchstab functions. 9781470430450 * Prime numbers. Real numbers. Riemann hypothesis. * Zhang, Wen-Bin, * Title * Series