| MENG Zaizhao.[J].数学年刊A辑,1999,20(4):473~478 |
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| THE FUNCTION {\tf d}$_{{\boldkey k}}$({\tf n}) ATCONSECUTIVE INTEGERS |
| Received:March 13, 1998 Revised:May 19, 1999 |
| DOI： |
| 中文关键词: |
| 英文关键词:Divisor function, Multiplicative function, Congruence |
| 基金项目: |
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| 中文摘要: |
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| 英文摘要: |
| 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 $n\leq x$. |
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