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Brewer sum
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Brewer sum : ウィキペディア英語版
Brewer sum
In mathematics, Brewer sums are finite character sum introduced by related to Jacobsthal sums.
==Definition==

The Brewer sum is given by
:\Lambda_n(a) = \sum_\binom
where ''D''''n'' is the Dickson polynomial (or "Brewer polynomial") given by
: D_(x,a)=2,\quad D_1(x,a)=x, \quad D_(x,a)=xD_n(x,a)-aD_(x,a)
and () is the Legendre symbol.
The Brewer sum is zero when ''n'' is coprime to ''q''2−1.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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