中文

Digit Reversal Without Apology

历史与综述 2007-05-23 v2 数论

摘要

In 1966, Alan Sutcliffe published an introductory paper on "numbers which are multiplied when their digits are reversed". Two years later T. J. Kaczynski extended Sutcliffe's work to show that there exists a 3 digit number in base n with this property if and only if there exists a 2 digit base n number with this property. This paper attempts to generalize Kaczynski's proof to the case of 4 and 5 digit integers and explores some unexpected consequences of this generalization.

引用

@article{arxiv.math/0511366,
  title  = {Digit Reversal Without Apology},
  author = {Lara Pudwell},
  journal= {arXiv preprint arXiv:math/0511366},
  year   = {2007}
}

备注

6 pages