翻訳と辞書
Words near each other
・ Weyl (crater)
・ Weyl algebra
・ Weyl character formula
・ Weyl curvature hypothesis
・ Weyl distance function
・ Weyl equation
・ Weyl group
・ Weyl integral
・ Weyl law
・ Weyl metrics
・ Weyl module
・ Weyl scalar
・ Weyl semimetal
・ Weyl tensor
・ Weyl transformation
Weyl's inequality
・ Weyl's lemma (Laplace equation)
・ Weyl's postulate
・ Weyl's theorem
・ Weyl's theorem on complete reducibility
・ Weyl's tile argument
・ Weylan Harding
・ Weyland
・ Weyland ringtail possum
・ Weylin Hotel
・ Weyl–Brauer matrices
・ Weyl–Schouten theorem
・ Weyl–von Neumann theorem
・ Weyl−Lewis−Papapetrou coordinates
・ Weyman


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

Weyl's inequality : ウィキペディア英語版
Weyl's inequality
In mathematics, there are at least two results known as ''Weyl's inequality''.
==Weyl's inequality in number theory==
In number theory, Weyl's inequality, named for Hermann Weyl, states that if ''M'', ''N'', ''a'' and ''q'' are integers, with ''a'' and ''q'' coprime, ''q'' > 0, and ''f'' is a real polynomial of degree ''k'' whose leading coefficient ''c'' satisfies
:|c-a/q|\le tq^,\,
for some ''t'' greater than or equal to 1, then for any positive real number \scriptstyle\varepsilon one has
:\sum_^\exp(2\pi if(x))=O\left(N^\left(++\right)^N\to\infty.
This inequality will only be useful when
:q < N^k,\,
for otherwise estimating the modulus of the exponential sum by means of the triangle inequality as \scriptstyle\le\, N provides a better bound.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Weyl's inequality」の詳細全文を読む



スポンサード リンク
翻訳と辞書 : 翻訳のためのインターネットリソース

Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.