MathDB

Turkey TST 1996 Problem 5, n^2+an+b

Source: Turkey TST 1996 Problem 5

September 28, 2011

linear algebramatrixnumber theory proposednumber theory

Problem Statement

Find the maximum number of pairwise disjoint sets of the form

S_{a,b} = \{n^{2}+an+b | n \in \mathbb{Z}\}

a, b \in \mathbb{Z}