Sums of generators of ideals in residue class ring
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- 作者：Xin Zhang 742833076@qq.com ; Chun-Gang Ji ; cgji@njnu.edu.cn
- 关键词：11R04 ; 11B13 ; 20K01
- 刊名：Journal of Number Theory
- 出版年：2017
- 出版时间：May 2017
- 年：2017
- 卷：174
- 期：Complete
- 页码：14-25
- 全文大小：292 K
- 卷排序：174
文摘
Let K be an algebraic number field with OKOK its ring of integers, and nn a nonzero ideal of OKOK. For an element a∈OK/na∈OK/n, we define (OK/n)⁎⋅a(OK/n)⁎⋅a as an orbit of a. Then we show explicitly which orbits are part of the union which constitutes the sumset of two given orbits. We also obtain a formula for the number of representations of each element in the sumset of two orbits.VideoFor a video summary of this paper, please visit https://youtu.be/xGpnILG6BPA.