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Eisenstein sum : ウィキペディア英語版
Eisenstein sum

In mathematics, an Eisenstein sum is a finite sum depending on a finite field and related to a Gauss sum. Eisenstein sums were introduced by , named "Eisenstein sums" by , and rediscovered by , who called them relative Gauss sums.
==Definition==

The Eisenstein sum is given by
:E(\chi,\alpha)=\sum_\chi(t)
where ''F'' is a finite extension of the finite field ''K'', and χ is a character of the multiplicative group of ''F'', and α is an element of ''K'' .

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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