n进制中非零数字之积函数的均值公式

Non-zero Digital Multiplication Function and Its Mean Value Formula in the Base n

设 N =a1nk1+ a2 nk2 +… + asnks( 1 ai<n,i=1 ,2 ,… ,s;k1>k2 >… >ks 0 ) ,a( N,n) =a1a2 … as,本文给出了均值 Ar( N ,n) =∑m<Nar( m,n)

Let N=a 1n k 1+a 2n k 2+...+a sn k s(1a i<n, i=1,2,...,s; k -1>k 2>...>k s0), a(N,n)=a 1a 2...a s, in this paper, we give an exact computing formula for the digital multiplication mean value A r(N,n) in the base n.