Record Details
Proofs and comparisons of the Mann-Dyson estimation theorems
ScholarsArchive at Oregon State University
| Field | Value |
|---|---|
| Title | Proofs and comparisons of the Mann-Dyson estimation theorems |
| Names |
Bregel, Maurice Leonard
(creator) Stalley, Robert D. (advisor) |
| Date Issued | 1965-07-16 (iso8601) |
| Note | Graduation date: 1966 |
| 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. |
| Genre | Thesis/Dissertation |
| Topic | Number theory |
| Identifier | http://hdl.handle.net/1957/47792 |
