中文

Baker和Davenport定理的又一个推广

数论 2015-11-03 v2

摘要

Dujella and Peth\H{o}, generalizing a result of Baker and Davenport, proved that the set {1,3}\{1, 3\} cannot be extended to a Diophantine quintuple. As a consequence of our main result, it is shown that the Diophantine pair {1,b}\{1, b\} cannot be extended to a Diophantine quintuple if b1b-1 is a prime.

关键词

引用

@article{arxiv.1510.05579,
  title  = {Another generalization of a theorem of Baker and Davenport},
  author = {Bo He and Ákos Pintér and Alain Togbe and Shichun Yang},
  journal= {arXiv preprint arXiv:1510.05579},
  year   = {2015}
}