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和集与给定序列相交问题

, PP. 22-23

Keywords: 和集,序列

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Abstract:

设{an}∞n=1是无界的正整数序列,满足当n→∞时an+1/an→α.设β>max{α,2}.则存在x0,对所有x>x0,若a,b是[0,x]的子集且满足0∈a∩b,|a|+|b|≥2(1-1/β)x,则和集a+b包含序列{an}的元素.本文是kapoorv结果的一般化.

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