%0 Journal Article
%T Number of β-free numbers in short intervals<br>
%A ZHAI Wenguang
%A <br>
%J 科学通报(英文版)
%D 2000
%I 
%X The  -free number is a generalization of the well-known squarefree numbers. The result that if θ > 33/80, then the interval x-xθ,x] must contain a B-free number for largex has been proved.
%K -free number
%K squarefree number
%K exponential sum<br>
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=01BA20E8BA813E1908F3698710BBFEFEE816345F465FEBA5&cid=96E6E851B5104576C2DD9FC1FBCB69EF&jid=DD6615BC9D2CFCE0B6F945E8D5314523&aid=1AE70A011F696F6F6FEF4CC713A4B3F0&yid=9806D0D4EAA9BED3&vid=94E7F66E6C42FA23&iid=38B194292C032A66&sid=3D9746C06EC12B45&eid=D2742EEE6F4DF8FE&journal_id=1001-6538&journal_name=科学通报(英文版)&referenced_num=0&reference_num=8