Mathematics – Number Theory
Scientific paper
2011-12-21
Mathematics
Number Theory
minor changes
Scientific paper
We consider the problem of determining whether a set of primes, or, more generally, prime ideals in a number field, can be realized as a finite union of residue classes, or of Frobenius conjugacy classes. We give criteria for a set to be realized in this manner, and show that the subset of primes consisting of every other prime cannot be expressed in this way, even if we allow a finite number of exceptions.
Kisilevsky Hershy
Rubinstein Michael O.
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