Topology of Numbers · Problem 8.1.8

Quadratic Fields — Allen Hatcher

Mathematics — Number Theory · prime-factorization-quadratic-fields

Problem

(a) Determine how the number

2

factors into primes in

R_\Delta

for

\Delta = -3, -4, -7, -8, -11, -12, -15

, and

-16

. (b) Do the same for

\Delta = 5, 8

, and

12