徐利治先生是年世已高的著名数学家和数学教育家 ,一直很关心《数学通报》 ,最近徐先生指出了本刊今年第四期中 36～ 37页上“等差数列一个性质的再推广”一文中错误之处 ,在此我们深表感谢 ,下面是徐先生所写全文 :该文中命题 2与证明中所用“恒等式 ∑ni=r( - 1 ) i-rCi-rn-r Mr. Xu Lizhi is a famous mathematician and mathematician educator who has been high in the world. He has been very concerned about the “Bromen’s Bulletin.” Mr. Xu pointed out recently that “the revisiting of a character of the arithmetic progression” on pages 36 to 37 of the fourth issue of the journal “We are deeply grateful for the mistakes in this article. Here is the full text of Mr. Xu’s writing: Proposition 2 and the proof used in the proof of ”identity ∑ni=r( - 1) i-rCi-rn-r