Some Tauberian theorems connected with the prime number theorem

Some Tauberian theorems connected with the prime number theorem

NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in .pdf document. Let A(x) be a monotone non-decreasing 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) ~...

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Bibliographic Details
Main Author: Gordon, Basil
Format: Others
Published: 1956
Online Access:https://thesis.library.caltech.edu/1063/1/Gordon_b_1956.pdf
Gordon, Basil (1956) Some Tauberian theorems connected with the prime number theorem. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/952N-ET02. https://resolver.caltech.edu/CaltechETD:etd-03232004-113001 <https://resolver.caltech.edu/CaltechETD:etd-03232004-113001>

Internet

https://thesis.library.caltech.edu/1063/1/Gordon_b_1956.pdf
Gordon, Basil (1956) Some Tauberian theorems connected with the prime number theorem. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/952N-ET02. https://resolver.caltech.edu/CaltechETD:etd-03232004-113001 <https://resolver.caltech.edu/CaltechETD:etd-03232004-113001>

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