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University of Illinois at Urbana-Champaign
Asymptotic Distribution of Beurling's Generalized Prime Numbers and Integers
Abstract
dc:descriptionThis paper is a study by "elementary" and analytic methods of the asymptotic distribution of Beurling's generalized (henceforth g-) prime numbers and integers Acta Math. 1937 . We call P = p(,i) (,i=1)('(INFIN)), where 1 ) (INFIN), a set of g-primes. The set of all products of g-primes is called the associated set of g-integers. Define summatory functions N(x), (psi)(x), (PI)(x) and M(x).
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2014
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Zhang, Wen-Bin
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Identifier
- (UMI)AAI8611005
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/71241