Some Some properties of the certain \(P_t\)-sets

Main Article Content



The problem of extendibility and characterization of \(P_t\)-sets is of big interest even though the problem is old, and it was started by Greek mathematician Diophantus. Let  \(t\) be an integer. A set of   \(m\) distinct positive integers  \({a_1,a_2,\dots,a_m}\) is called a \(P_t\)-set if    \(a_i a_j+t (1\leq i\leq j\leq m)\) is a perfect square whenever \(i\neq j\)  In this paper, we will investigate several numerical \(P_k\)-sets and demonstrate that they cannot be widen. Also, we will determine some of their properties using reciprocity theorem.

Article Details

How to Cite
ÖZER, Özen. (2017). Some Some properties of the certain \(P_t\)-sets. International Journal of Algebra and Statistics, 6(1-2), 117-130.