Citation
Gordon, Basil (1956) Some Tauberian theorems connected with the prime number theorem. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd03232004113001
Abstract
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Let A(x) be a monotone nondecreasing function of x, and let [...]. It is possible that T(x)~ ax log x, but [...] = 0, [...]. If T(x) = ax log x + 0(x), then [...], [...], but A(x) ~ ax is in general false. If T(x) = ax log x + bx + [...] then A(x) ~ ax.
The prime number theorem is the special case A(x) = [...](x).
Item Type:  Thesis (Dissertation (Ph.D.)) 

Degree Grantor:  California Institute of Technology 
Division:  Physics, Mathematics and Astronomy 
Major Option:  Mathematics 
Thesis Availability:  Public (worldwide access) 
Research Advisor(s): 

Thesis Committee: 

Defense Date:  1 January 1956 
Record Number:  CaltechETD:etd03232004113001 
Persistent URL:  http://resolver.caltech.edu/CaltechETD:etd03232004113001 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  1063 
Collection:  CaltechTHESIS 
Deposited By:  Imported from ETDdb 
Deposited On:  23 Mar 2004 
Last Modified:  26 Dec 2012 02:34 
Thesis Files

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