Topology of Numbers · Problem 6.3.1

Representations by Quadratic Forms — Allen Hatcher

Mathematics — Number Theory · genus-characters-quadratic-forms

Problem

For the following discriminants determine the class number and a form in each class, then use a character table to determine which primes are represented by each of the forms, at least to the extent that this can be determined by characters. Also determine the various genera. (a) −24-24 (b) 2424 (c) −39-39 (d) −96-96

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