关于一个Diophantus不等式的整数解个数

On the Number of Solutions of a Diophantus Inequality

命t(m,q;r)=(m+r+g)~α-(m-r+q)~α—(m+r-q)~α+(m-r-q)~α,其中α(α-1)(α-2)(α-3)≠0。本文的目的是给出Diophantus不等式,满足条件的整数解数的较精确上界估计。其中。

Let α(α-1)(α-3)(α-3)=0, and t(m,q;r) = (m+r+q)α - (m - r+q)α- (m +r-q)α. The purpose of this paper is to give the upper estimation on the number of solutions of (m,m,q,q) a Diophantus inequality |t(m,q;r) - t(m, q ;r) |<AT with m, m-M,q,q-Q, Q,r<<M3/4 and T= \rqmα-2