on the distribution of pseudorandom numbers and vectors derived from euler-fermat quotients
文献类型：期刊论文
| 作者 | Chen Zhixiong ; Winterhof Arne |
| 刊名 | INTERNATIONAL JOURNAL OF NUMBER THEORY
 |
| 出版日期 | 2012 |
| 卷号 | 8期号:3页码:631-641 |
| 关键词 | Pseudorandom numbers and vectors Euler quotients Fermat quotients exponential sums discrepancy |
| ISSN号 | 1793-0421 |
| 中文摘要 | We study the distribution of s-dimensional vectors of consecutive Euler-Fermat quotients modulo a composite m. More precisely, we prove two different discrepancy bounds for s = 1 and s > 1 based on the celebrated Burgess bound and on bounds on the number of zeros of a polynomial modulo m, respectively. The results extend some known bounds for Fermat quotients modulo a prime of Ostafe and Shparlinski. However, the case of composite modulus brings some interesting twists. |
| 英文摘要 | We study the distribution of s-dimensional vectors of consecutive Euler-Fermat quotients modulo a composite m. More precisely, we prove two different discrepancy bounds for s = 1 and s > 1 based on the celebrated Burgess bound and on bounds on the number of zeros of a polynomial modulo m, respectively. The results extend some known bounds for Fermat quotients modulo a prime of Ostafe and Shparlinski. However, the case of composite modulus brings some interesting twists. |
| 学科主题 | Mathematics |
| 收录类别 | SCI |
| 资助信息 | Austrian Academy of Sciences; National Natural Science Foundation of China 61170246; Fujian Province University of China JK2010047; State Key Laboratory of Information Security (Chinese Academy of Sciences) 01-01-1 |
| 语种 | 英语 |
| WOS记录号 | WOS:000302020300005 |
| 公开日期 | 2013-09-17 |
| 源URL | [http://ir.iscas.ac.cn/handle/311060/15084]  |
| 专题 | 软件研究所_软件所图书馆_期刊论文 |
| 推荐引用方式 GB/T 7714 | Chen Zhixiong,Winterhof Arne. on the distribution of pseudorandom numbers and vectors derived from euler-fermat quotients[J]. INTERNATIONAL JOURNAL OF NUMBER THEORY,2012,8(3):631-641. |
| APA | Chen Zhixiong,&Winterhof Arne.(2012).on the distribution of pseudorandom numbers and vectors derived from euler-fermat quotients.INTERNATIONAL JOURNAL OF NUMBER THEORY,8(3),631-641. |
| MLA | Chen Zhixiong,et al."on the distribution of pseudorandom numbers and vectors derived from euler-fermat quotients".INTERNATIONAL JOURNAL OF NUMBER THEORY 8.3(2012):631-641. |
入库方式： OAI收割
来源：软件研究所
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