Hatcher-Topology-of-Numbers · Problem 6.2.1

Representations by Quadratic Forms

Mathematics — Algebraic Topology · quadratic-forms-discriminants

Problem

Determine discriminants

\Delta

for which there exists a quadratic form of discriminant

\Delta

that represents

5

, and also the discriminants for which there does not exist a form representing

5

. When

5

is represented, find a form that gives the representation.