中文

Uchiyama 关于平方和猜想

数论 2017-12-21 v1

摘要

Uchiyama 证明了每个区间 (n,n+cn1/4)(n, n + c n^{1/4}) 包含一个可表为两个平方和的整数,其中 c=23/2c= 2^{3/2}。他还猜想了使上述陈述仍成立的最小 cc 值。我们研究了这一断言。

关键词

引用

@article{arxiv.1712.07243,
  title  = {Uchiyama's conjecture on sums of squares},
  author = {Tim Trudgian},
  journal= {arXiv preprint arXiv:1712.07243},
  year   = {2017}
}

备注

To the Australian Test Cricket selectors, to whom I am indebted a slice of humble pie, after they ignored the strident remonstrances of TS Trudgian and included MR Marsh in the team