Engineering↗
Prime Decomposition in Quadratic Fields
How rational primes split, remain inert or ramify in a quadratic field, decided entirely by the Kronecker symbol.
Every page in the KEVOS library tagged Quadratic Field. 4 pages.
How rational primes split, remain inert or ramify in a quadratic field, decided entirely by the Kronecker symbol.
Discriminants and integral bases of quadratic fields, given by closed formulas with no computation required.
Sub-exponential class group and regulator computation for quadratic fields by relation collection over a factor base.
Quadratic fields, their discriminants and integral bases, prime decomposition by the Kronecker symbol, binary quadratic forms, reduction, and the correspondence between form cla…