MENG Zaizhao.THE FUNCTION dk(n)ATCONSECUTIVE INTEGERS[J].Chinese Annals of Mathematics B,1999,20(4):473~478
Page view： 1046Net amount： 888
Authors：
MENG Zaizhao;
Foundation：
Project supported by the National Natural Science
Foundation of China.
Abstract：
Let $d_{k}(n)$ denote the $k$-fold iterated divisor function $(k\geq 2)$.
It is proved that for sufficiently large $x$, $d_{k}(n)=d_{k}(n+1)$ holds
for $\gg x(\log\log x)^{-3}$ integers $n\leq x$.
