On the Size of the Wild Set

[摘要] To every pair of algebraic number fields with isomorphic Witt ringsone can associate a number, called the {it minimum number of wildprimes}. Earlier investigations have established lower bounds for thisnumber. In this paper an analysis is presented that expresses theminimum number of wild primes in terms of the number of wild dyadicprimes. This formula not only gives immediate upper bounds, but can beconsidered to be an exact formula for the minimum number of wildprimes.

[学科分类] 数学（综合）