| 关于Andrew Granvill问题的推广 |
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| 引用本文： | 张文鹏.关于Andrew Granvill问题的推广[J].数学学报,1996,39(3):319-325. |
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| 作者姓名： | 张文鹏 |
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| 作者单位： | 西北大学数学系 |
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| 摘 要： | 设是一个整数，对任一０＜α＜ｎ且（ａ，ｎ）＝１，显然存在唯一的整数０＜α＜ｎ－１使得αα≡１（ｍｏｄｎ）．本文的主要目的是研究差式｜α－α｜在算术级数中的分布性质，并给出一个有趣的渐近公式．
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| 关 键 词： | 算术级数，均值分布，渐近公式 |
| 收稿时间： | 1994-5-3 |
| 修稿时间： | 1994-11-18 |
On the Generalization of a Problem of Andrew Granville |
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| Zhang Wenpeng.On the Generalization of a Problem of Andrew Granville[J].Acta Mathematica Sinica,1996,39(3):319-325. |
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| Authors: | Zhang Wenpeng |
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| Institution: | Zhang Wenpeng(Department of Mathematics, Northwest University, Xi'an 710069, China) |
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| Abstract: | Let be an integer number, for each integer 0 < α< n with (n, a) = 1, it is clear that there exists one and only one αwith 0 < α< n such that αα= 1(modn). The main purpose of this paper is to study the distribution behaviour of |a-a| (where αand αbelong to an arithmetical progression), and give an interesting asymptotic formula. |
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| Keywords: | aritlunetical progression mean value distribution asymptotic formula |
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