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Some Results on Additive Number Theory III

Some Results on Additive Number Theory III

l$ be a positive integer.Let $\{P_{ij}:i=1,$ $\cdots$ , $k;j=1,$ $\cdots,$ $l$ } be a given family of sets, each consisting of prime numbers, subject to the following conditions: (C) For each $i=1,$ $\cdots,$ $k$ , the sets $P_{i\dot{g}}(j=1, \cdots, l)$ are pairwise dis- joint;(C) As $ x\rightarrow\infty$ , $\sum_{p\leq x.peP_{ij}}\frac{1}{p}=\lambda_{ij}\log\log …