Orthogonality properties of mixed characters

منو

" Orthogonality properties of mixed characters "
M. M. Idris

Document Type	:	Latin Dissertation
Language of Document	:	English
Record Number	:	1113118
Doc. No	:	TLpq304310770
Main Entry	:	M. M. Idris
Title & Author	:	Orthogonality properties of mixed characters\ M. M. Idris
College	:	Kansas State University
Date	:	1996
student score	:	1996
Degree	:	Ph.D.
Page No	:	18
Abstract	:	Consider usdf\sb\gamma\sb{s}(\theta)=\sum\sb{{k\in\{1,2,\cdots,s\}\atop{(k,s)=1}}} \varepsilon\sb{s}(k)\chi\sb\lbrack\sigma, 2\sigma)(\theta-{k\over s})e\sp{2\pi i\gamma\sb{s}\log(\theta-{k\over s})}usd functions with usd\gamma\sb{s}\in\IR\sp+usd and usdk,s\in {\rm I\!N}, (k,s)=1,\ \sigma=2\sp{j}usd and usd\theta\in\lbrack 0,1)usd. Let A be a positive integer. In the first part, we estimate usd\int\sbsp{0}{1}\vert\sum\sb{s\in\lbrack s,2S)}f\sb{\gamma\sb{s}}(\theta)\vert\sp2\ d\thetausd where S is a dyadic number between 1 and A. In the second part, we justify the one m principle.
Subject	:	Mathematics
	:	one m principle
	:	Pure sciences