Extendibility of Some P_{k} Sets
Number Theory
2017-04-24 v1
Abstract
A set of m distinct positive integers {a_{1},...a_{m}} is called a Diophantine m-tuple if a_{i}a_{j}+n is a square for each 1\leqi<j\leqm . The aim of this study is to show that some P_{k} sets can not be extendible to a Diophantine quadruple when k=2 and k=-3 and also to give some properties about P_{k} sets.
Keywords
Cite
@article{arxiv.1704.06554,
title = {Extendibility of Some P_{k} Sets},
author = {Bilge Peker and Selin Cenberci},
journal= {arXiv preprint arXiv:1704.06554},
year = {2017}
}