Proofs and comparisons of the Mann-Dyson estimation theorems

Graduate Thesis Or Dissertation

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Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/k643b441m

Descriptions

Attribute Name	Values
Creator	Bregel, Maurice Leonard
Abstract	Let A and B be two subsets of the set of all non-negative integers with 0 ε A and O ε B. The sum of the sets A and B is the set C = A + B = {a + b: a ε A, b ε B). For n > 0 we denote the number of positive integers in C which do not exceed n by C(n). In this thesis we obtain and compare four lower bounds for C(n) . These lower bounds are consequences of well known theorems from additive number theory. The word estimate is frequently used for such lower bounds which explains the title of this thesis.
Resource Type	Masters Thesis
Fecha Disponible	2014-04-30T20:56:57+00:00
Fecha de Emisión	1965-07-16
Degree Level	Master's
Degree Name	Master of Science (M.S.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	1966
Advisor	Stalley, Robert D.
Academic Affiliation	Mathematics
Non-Academic Affiliation	Oregon State University. Graduate School
Subject	Number theory
Declaración de derechos	Copyright Not Evaluated
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]
Digitization Specifications	File scanned at 300 ppi using Capture Perfect 3.0 on a Canon DR-9050C in PDF format. CVista PdfCompressor 5.0 was used for pdf compression and textual OCR.
Replaces	http://hdl.handle.net/1957/47792

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