Is there a polynomial D(2X + 1)-quadruple?

Abstract

In this paper, we show that there does not exist a polynomial D(2X+ 1)-quadruple {a, b, c, d}, such that 0 < a < b < c < d and deg d = deg b.

Keywords

• d(n)-quadruples
• difference of two squares
• ring of polynomials
• primary 11c08, 11d99, 11e99
• secondary 11d09