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Carlitz exponential : ウィキペディア英語版 | Carlitz exponential In mathematics, the Carlitz exponential is a characteristic ''p'' analogue to the usual exponential function studied in real and complex analysis. It is used in the definition of the Carlitz module – an example of a Drinfeld module. ==Definition==
We work over the polynomial ring F''q''() of one variable over a finite field F''q'' with ''q'' elements. The completion C∞ of an algebraic closure of the field F''q''((''T''−1)) of formal Laurent series in ''T''−1 will be useful. It is a complete and algebraically closed field. First we need analogues to the factorials, which appear in the definition of the usual exponential function. For ''i'' > 0 we define : :
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「Carlitz exponential」の詳細全文を読む
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