An improvement of an extension of a theorem of Erdős and Fuchs
An improvement of an extension of a theorem of Erdős and Fuchs
复制标题
DOI：
10.1023/b:amhu.0000034360.41926.5a
复制
发表时间：
2004-11
影响因子：
0.9
通讯作者：
G. Horváth
中科院分区：
文献类型：
--
作者：
G. Horváth
Montgomery 和 Vaughan 针对任意序列改进了 Erdős 和 Fuchs 定理。 Srkzy 将 Erdős 和 Fuchs 的定理扩展为两个在某种意义上“接近”的任意序列。使用 Jurkat（生成函数的微分）的思想，我们将类似地扩展 Montgomery 和 Vaughan 对于“足够接近”序列的结果。
Montgomery and Vaughan improved a theorem of Erdős and Fuchs for an arbitrary sequence. Srkzy extended this theorem of Erdős and Fuchs for two arbitrary sequences which are "near" in a certain sense. Using the idea of Jurkat (differentiation of the generating function), we will extend similarly the result of Montgomery and Vaughan for "sufficiently near" sequences.