The smallest prime that splits completely in an abelian number field

DOI10.1090/S0002-9939-2014-12199-XzbMath1294.11203MaRDI QIDQ5418509

Paul Pollack

Publication date: 4 June 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

discriminantprimeabelian number fieldprime conductor

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Estimates on character sums (11L40) Distribution of prime ideals (11R44)

Related Items (6)

Product of three primes in large arithmetic progressions ⋮ Sparse univariate polynomials with many roots over finite fields ⋮ A note on the least prime that splits completely in a nonabelian Galois number field ⋮ Explicit bounds for products of primes in AP ⋮ Bounds for the first several prime character nonresidues ⋮ Small prime 𝑘th power residues

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