Equality in Pollard's theorem on set addition of congruence classes
Equality in Pollard's theorem on set addition of congruence classes
复制标题
同余类集合加法波拉德定理中的等式
DOI：
10.4064/aa127-1-1
复制
发表时间：
2007
期刊：
影响因子：
0.7
通讯作者：
C. Staples
中科院分区：
文献类型：
--
作者：
E. Nazarewicz;M. J. O’Brien;M. O’Neill;C. Staples
对于素数p，我们对Zp的子集对进行分类，其中等式在波拉德定理中得到。我们的结果可被认为是Voynn关于Cauchy-Davenport不等式临界对的定理的推广。
For prime p, we classify those pairs of subsets of Zp for which equality is attained in Pollard’s theorem. Our result may be considered as an extension of the theorem of Vosper characterizing the critical pairs for the Cauchy-Davenport inequality.