典型文献
More Divisibility Properties for Binomial Coefficients
文献摘要：
Let a,b and n be positive integers with a＞b,we prove the following divisibility property:For all positive integers n,we have(2bn+1)(2bn+3)(2bn+5)(2bnbn)115((a-b)(3a-b)(5a-b)(5a-3b)(2anan)(anbn),which extends the result of Yang.And for all positive integers n,we show the following divisi-bility properties:(6n+1)(4nn)|(12n6n)(2nn),(12n+1)(5nn)|(15n3n)(3n-1n-1),(18n+1)(12n9n)(8n2n)|(24n18n)(4n2n)(6n3n).Other more similar divisibility properties are given also.
文献关键词：
中图分类号：
作者姓名：
Jiaqi XIAO;Yuqing HE;Pingzhi YUAN
作者机构：
School of Mathematics,South China Normal University,Guangdong 510631,P.R.China
文献出处：
引用格式：
[1]Jiaqi XIAO;Yuqing HE;Pingzhi YUAN-.More Divisibility Properties for Binomial Coefficients)[J].数学研究及应用,2022(06):561-579
A类：
Divisibility,divisibility,2bn+1,2bn+3,2bn+5,2bnbn,2anan,anbn,divisi,6n+1,4nn,12n6n,2nn,12n+1,5nn,15n3n,18n+1,12n9n,8n2n,24n18n,4n2n,6n3n
B类：
More,Properties,Binomial,Coefficients,Let,be,positive,integers,we,prove,following,property,For,all,have,3a,5a,3b,which,extends,result,Yang,And,show,properties,1n,Other,more,similar,are,given,also
AB值：
0.340851
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