Chebotarev sets

• Autorzy: Hershy Kisilevsky , Michael O. Rubinstein
• Języki publikacji: EN

Abstrakty

EN

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 necessary conditions 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.

Kategorie tematyczne

• 11R44: Distribution of prime ideals
• 11M06: ζ ( s ) and L ( s , χ )
• 11N13: Primes in progressions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2015
• Tom: 171
• Numer: 2
• Strony: 97-124

Daty

wydano

2015

Twórcy

autor

Hershy Kisilevsky

• Department of Mathematics and Statistics, Concordia University, J.W. McConnell Building, 1400 De Maisonneuve W., Montreal, Quebec, Canada, H3G 1M8

autor

Michael O. Rubinstein

• Pure Mathematics, University of Waterloo, 200 University Ave. W, Waterloo, Ontario, Canada, N2L 3G1

Identyfikatory

DOI

10.4064/aa171-2-1