摘要

It is conjectured by Erdos, Graham and Spencer that if 1 <= a(1) <= a(2) <= ... <= a(s) with sigma(s)(i=1) 1/a(i) < n - 1/30, then this sum can be decomposed into n parts so that all partial sums are <= 1. In this note we propose a counterexample which gives a negative answer to this conjecture.

  • 出版日期2008-12-9
  • 单位淮阴师范学院