Mathematics – Number Theory
Scientific paper
2010-01-28
Mathematics
Number Theory
30 pages
Scientific paper
This paper presents algorithms for calculating the quadratic character and the norms of prime ideals in the ring of integers of any quadratic field. The norms of prime ideals are obtained by means of a sieve algorithm using the quadratic character for the field considered. A quadratic field, and its ring of integers, can be represented naturally in a plane. Using such a representation, the prime numbers - which generate the principal prime ideals in the ring - are displayed in a given bounded region of the plane.
No associations
LandOfFree
Primes in quadratic fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Primes in quadratic fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Primes in quadratic fields will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-255461