Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4652122 | Electronic Notes in Discrete Mathematics | 2013 | 6 Pages |
Abstract
We present some new formulas for D(z)-quadruples in these remaining cases, involving some congruence conditions modulo 11 on integers a and b. We show the existence of D(z)-quadruple for significant proportion of the remaining three cases. These new formulas then together with previous results on this subject allow us to almost completely characterize elements z of Z[â2] for which a Diophantine quadruple with the property D(z) exists.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Ivan Soldo,