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Counting ideals in ray classes

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Publication:2109396
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DOI10.1016/j.jnt.2022.08.005OpenAlexW4297374016MaRDI QIDQ2109396

Jyothsnaa Sivaraman, Sanoli Gun, Olivier Ramaré

Publication date: 21 December 2022

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

Full work available at URL: https://arxiv.org/abs/2208.06602


zbMATH Keywords

ray class groupcounting idealsKorkin-Zolotarev basis


Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Density theorems (11R45) Distribution of prime ideals (11R44)


Related Items (1)

Explicit upper bounds on the average of Euler-Kronecker constants of narrow ray class fields




Cites Work

  • Unnamed Item
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  • Korkin-Zolotarev bases and successive minima of a lattice and its reciprocal lattice
  • Analytic formulas for the regulator of a number field
  • On the number of integral ideals in a number field
  • On a question of Lehmer and the number of irreducible factors of a polynomial
  • Class Numbers of Totally Imaginary Quadratic Extensions of Totally Real Fields
  • Counting primitive points of bounded height
  • Explicit counting of ideals and a Brun–Titchmarsh inequality for the Chebotarev density theorem




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