Doctor of Philosophy (PhD)
This dissertation makes a contribution to the study of Witt rings of quadratic forms over number fields. To every pair of algebraic number fields with isomorphic Witt rings one can associate a number, called the minimum number of wild primes. The situation is particularly nice when this number is 0; often it is not 0. Earlier investigations have established lower bounds for this number. In this dissertation an analysis is presented that expresses the minimum number of wild primes in terms of the number of wild dyadic primes. This formula not only gives immediate upper bounds, but can be considered to be an exact formula for the minimum number of wild primes.
Document Availability at the Time of Submission
Release the entire work immediately for access worldwide.
Somodi, Marius M., "Bounding the wild set (counting the minimum number of wild primes in Hilbert symbol equivalent number fields)" (2001). LSU Doctoral Dissertations. 2771.