Average distribution of prime ideals in families of number fields

DOI10.1007/s00574-008-0014-4zbMath1236.11098OpenAlexW2113256153MaRDI QIDQ734067

Igor E. Shparlinski, José Felipe Voloch

Publication date: 19 October 2009

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-008-0014-4

zbMATH Keywords

Chebotarev density theoremprime ideal theoremfamilies of number fields

Mathematics Subject Classification ID

Distribution of prime ideals (11R44)

Cites Work

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• On the distribution of rational functions along a curve over \(\mathbb F_p\) and residue races
• Sequences, discrepancies and applications
• Equations over finite fields. An elementary approach
• On the number of times a root of \(f(n,x)=0\) generates a field containing a given number field
• Lang's Conjectures, Fibered Powers, and Uniformity
• The Distribution of Galois Groups and Hilbert's Irreducibility Theorem
• A mean value estimate for real character sums
• On Exponential Sums in Finite Fields
• A Generalization of the Siegel-Walfisz Theorem

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