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典型文献
A Note on the Representation of an Integer in Two Different Bases
文献摘要:
Let a,b and n be integers larger than 1 and let α,β be integers satisfying 0≤α<a,0≤β<b.Denote Lα,a(n),Lβ,b(n)the numbers of digits in the canonical expansion of n in base a and b which are different from α and β,respectively.Define Lα,a,β,b(n)=Lα,a(n)+Lβ,b(n).In this short note,the lower bound of Lα,α,β,b(n)was considered,i.e.,ifloga/logb is irrational,the estimate Lα,a,β,b(n)>loglogn/logloglogn+C-1,holds for C(≥)logab and n>25,which deepens the result of Stewart.
文献关键词:
作者姓名:
WANG You-jun
作者机构:
School of Mathematics and Statistics,Henan University,Kaifeng 475004,China
引用格式:
[1]WANG You-jun-.A Note on the Representation of an Integer in Two Different Bases)[J].数学季刊(英文版),2022(01):74-78
A类:
ifloga,logb,loglogn,logloglogn+C,logab
B类:
Note,Representation,Integer,Two,Different,Bases,Let,integers,larger,than,let,satisfying,Denote,numbers,digits,canonical,expansion,base,which,are,different,from,respectively,Define,+L,this,short,lower,bound,was,considered,irrational,estimate,holds,deepens,result,Stewart
AB值:
0.618286
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