Topology of Numbers · Problem 4.2.1

Classification of Quadratic Forms — Allen Hatcher

Mathematics — Number Theory · periodic-separator-lines-topograph

Problem

Determine the periodic separator line in the topograph for each of the following quadratic forms. (You do not need to include the fractional labels x ⁣/y^x\!/_y.) (a) x2−7y2x^2 - 7y^2 (b) 3x2−4y23x^2 - 4y^2 (c) x2+xy−y2x^2 + xy - y^2

Browse the problem library