Addition Properties of Residue Classes

Addition Properties of Residue Classes
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残差类的加法性质

DOI:
10.1112/jlms/s2-11.2.147
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发表时间:
1975
影响因子:
1.2
通讯作者:
J. Pollard
J. Pollard
中科院分区:
数学2区
文献类型:
--
作者:
J. Pollard

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1.本文[1]给出了Cauchy和Davenport [2,3,4,5]定理的如下推广。设A和B是素数模p的剩余类的集合,并且设Nr(r^ 1)表示至少以r种方式可表示为a+ B(aeA,be B)的类的数目。然后
1. A previous paper [1] gave the following extension of the theorem of Cauchy and Davenport [2, 3, 4, 5]. Let A and B be sets of residue classes to a prime modulus p, and let Nr (r^ 1) denote the number of classes representable as a+ b (aeA, be B) in at least r ways. Then