Another generalization of a theorem of Baker and Davenport

作者:He, Bo; Pinter, Akos; Togbe, Alain*; Yang, Shichun
来源:Journal of Number Theory, 2018, 182: 325-343.
DOI:10.1016/j.jnt.2017.07.003

摘要

Dujella and Petho, generalizing a result of Baker and Davenport, proved that the set {1,3} cannot be extended to a Diophantine quintuple. As a consequence of our main result, we show that the Diophantine pair {1, b} is regular if b 1 is a prime power.