AbstractsMathematics
On a special case of the Strong Littlewood Conjecture
| Institution: | McGill University |
|---|---|
| Department: | Department of Mathematics and Statistics. |
| Degree: | MS |
| Year: | 1998 |
| Keywords: | Mathematics. |
| Record ID: | 1694277 |
| Full text PDF: | http://digitool.library.mcgill.ca/thesisfile20882.pdf |
Abstract
A special case of the Strong Littlewood Conjectures asserts that &dvbm0;cosnx+cosmx&dvbm0;1 ≥&dvbm0;cosx+cos3x&dvbm0; 1, or equivalently, &dvbm0;cosnxcosmx&dvbm0;1 ≥&dvbm0;cosxcos2x&dvbm0; 1. This thesis investigates a method of proof (as proposed by I. Klemes) for each of these and their extension to concave functions in general.
