Proofs and comparisons of the Mann-Dyson estimation theorems Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/k643b441m

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  • 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.
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  • 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.
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