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数论函数Ω_k的动力系统(英文)
  • ISSN号：1000-341X
  • 期刊名称：数学研究与评论
  • 时间：0
  • 页码：886-890
  • 语言：中文
  • 分类：O156.1[理学—数学;理学—基础数学]
  • 作者机构：[1]南京师范大学数学与计算机科学学院,南京210097
  • 相关基金：国家自然科学基金（10771103）致谢：衷心感谢导师陈永高教授的悉心指导!感谢石莹同学看了初稿并提出一些修改意见!
  • 相关项目：Erdos问题、二次数域及其它数论问题
作者： 石莹|
关键词： 算术级数, Green-Tao定理, 素数, 平方和, arithmetic progression, Green-Tao theorem, prime, sum of squares
中文摘要：

Heath-Brown具体构造出无穷多组4项算术级数,其中每项均能表示为两个正整数的平方和.本文回答了陈永高教授提出的一个更一般的问题.

英文摘要：

They also remarked that Heath-Brown gave explicitly infinitely many 4-term arithmetic progressions, where each term can be written as sums of two squares. This paper answers a question posed by Professor Y. G. Chen.

同期刊论文项目
Erdos问题、二次数域及其它数论问题
期刊论文 32
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