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素数p在数域Q（u~（1/2）,v~（1/2））上的素理想分解
  • ISSN号：1000-8314
  • 期刊名称：《数学年刊：A辑》
  • 时间：0
  • 分类：O157.1[理学—数学;理学—基础数学]
  • 作者机构：[1]江苏师范大学数学与统计学院,江苏徐州221116
  • 相关基金：国家自然科学基金资助项目（11171288,11171150）;江苏省大学生实践创新训练计划项目（20140320094X）
作者： 李成举[1], 岳勤[1]
关键词： LUCAS数, 标准分解式, 素因数, 指数, lucas number, standard factorization, prime factor, index
中文摘要：

纠正了L2x3kxp≡0（mod3k＋1），k∈Z，k≥0，p为任意正整数的错误，然后证明了Lucas数Ln的标准分解式中素因数5指数为0，最后证明了Ln 的标准分解式中素因数7的指数由n的标准分解式中2和7的指数决定。

英文摘要：

In this paper, we first correct a mistake in reference [10];then we prove that the index of 5 in Ln is 0;at last, we prove that index of 7 in Ln can be determined by the indexes of 2 and 7 in the standard fac-torization of n.

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期刊信息
  • 《数学年刊：A辑》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:复旦大学
  • 主编：李大潜
  • 地址：上海市长乐路746号
  • 邮编：200040
  • 邮箱：edcam@fudan.edu.cn
  • 电话：021-65642338
  • 国际标准刊号：ISSN：1000-8314
  • 国内统一刊号：ISSN：31-1328/O1
  • 邮发代号:4-298
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:4264