论文标题
在Erdős-sloane和Sloane持久性问题上
On the Erdős-Sloane and Shifted Sloane Persistence Problems
论文作者
论文摘要
在本文中,我们研究了Sloane的所谓持久性问题:移动版本,该版本是由Wagstaff引入的。和非零版本,由erdős提出。我们探讨了这些问题与最近的de Faria和Tresser最近的猜想之间的联系,这些猜测是关于某些整数序列的数字及其某些自然概括的数字的等分。
In this paper, we investigate two variations on the so-called persistence problem of Sloane: the shifted version, which was introduced by Wagstaff; and the nonzero version, proposed by Erdős. We explore connections between these problems and a recent conjecture of de Faria and Tresser regarding equidistribution of the digits of some integer sequences and some of its natural generalizations.