Explicit counting of ideals and a Brun–Titchmarsh inequality for the Chebotarev density theorem

DOI10.1142/S1793042119500477zbMath1456.11218arXiv1611.10103OpenAlexW2963147302WikidataQ128851527 ScholiaQ128851527MaRDI QIDQ5380752

Korneel Debaene

Publication date: 6 June 2019

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.10103

zbMATH Keywords

prime idealsgeometry of numbersdistribution of prime idealsBrun-Titchmarsh inequality

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Applications of sieve methods (11N36) Distribution of prime ideals (11R44)

Related Items

Pointwise bound for \(\ell \)-torsion in class groups: elementary abelian extensions ⋮ On the number of integral ideals in a number field ⋮ Modular forms and an explicit Chebotarev variant of the Brun-Titchmarsh theorem ⋮ Composite values of shifted exponentials ⋮ Two explicit divisor sums ⋮ An effective Chebotarev density theorem for families of number fields, with an application to \(\ell \)-torsion in class groups ⋮ Counting ideals in ray classes ⋮ Uniform bounds for lattice point counting and partial sums of zeta functions

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