Topology of Numbers · Problem 7.2.5

The Class Group for Quadratic Forms — Allen Hatcher

Mathematics — Number Theory · primes-represented-by-symmetric-forms

Problem

For a fixed discriminant Δ\Delta consider the set SΔS_\Delta of primes that do not divide the conductor and are represented by primitive forms with mirror symmetry. Show that numbers that are products of primes in SΔS_\Delta are represented by at most one form of discriminant Δ\Delta, up to equivalence, and this form has mirror symmetry.

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