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摘要: 讨论了有限素域Fp上多项式xp-x-1的根αp的阶数o(αp)问题.文章猜测:等式o(αp)=mp:=(pp-1)/(p-1)对于任何素数p成立.文章通过具体例子介绍了在素数p给定的情形下证实该猜想的两种方法.Abstract: The present paper is concerned with the order o(αp) of a root αp of the polynomial xp-x-1 over a prime field Fp. We propose a conjecture that o(αp)=mp:=(pp-1)/(p-1) for any prime p. Then we introduce two methods to verify the conjecture in certain cases.
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Key words:
- polynomialfinite fieldorder of a root /
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