THE BINOMIAL THEOREM AND THE EXTENDED PASCAL TRIANGLE

被引：0
|
作者：
FJELSTAD, P
机构：
[1] Northfield, MN 55057
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1991年 / 21卷 / 09期
关键词：
D O I：
10.1016/0898-1221(91)90121-J
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
With the binomial coefficients (n(k)) being defined for all integers n, k, several forms of the binomial theorem, valid for all n, are provided. This is set up using algebraic means on infinitely long rows of numbers. When diverging series result, they are evaluated modulo an infinite number. This modular arithmetic, related to p-adic arithmetic, thus provides a new way to interpret diverging series.
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页码：11 / 17
页数：7
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