On a special case of the Strong Littlewood Conjecture

by Sidney. Trudeau

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


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.