科研之友
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摘要
In this paper, we consider a gap principle when a(2) - 1 vertical bar b(2) - 1 vertical bar c(2) - 1 with 1 < a < b < c. As a byproduct, we are led to determine the complete set of pairs of positive integers 1 <= u <= v <= x such that u vertical bar v(2) - 1 and v vertical bar u(2) - 1 and the diophantine equation u(2) + v(2) 1 = muv. We also generalize our main theorems to the polynomial f (n) = A(n + B)(2) + C.
- 出版日期2018-3
