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A generalization of Maynards results on the Brun-Titchmarsh theorem to number fields

안정환 권순희 2022년

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' A generalization of Maynards results on the Brun-Titchmarsh theorem to number fields' 의 주제별 논문영향력
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주제
  • The Chebotarev density theorem
  • the Brun-Titchmarsh theorem
  • the Deuring-Heilbronn phenomenon
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' A generalization of Maynards results on the Brun-Titchmarsh theorem to number fields' 의 참고문헌

  • Uber den Tschebotareffschen Dichtigkeitssatz
    M. Deuring [1935]
  • Théorème de Chebotarev effectif
  • The least prime ideal in the Chebotarev density theorem
    H. Kadiri [2019]
  • The least prime ideal
    A. Weiss [1983]
  • The large sieve
  • Some explicit zero-free regions for Hecke L-functions
    J. -H. Ahn [2014]
  • Some effective cases of the Brauer-Siegel theorem
    H. M. Stark [1974]
  • Primes in the Chebotarev density theorem for all number fields (with an Appendix by Andrew Fiori)
  • On the Brun-Titchmarsh theorem
    J. Maynard [2013]
  • Lower estimates for the prime ideal of degree one counting function in the Chebotarev density theorem
    J. -H. Ahn [2019]
  • Intersection arithmétique et problème de Lehmer elliptique
    B. Winckler [2015]
  • Die Bestimmung der Dichtigkeit einer Menge von Primzahlen, welche zu einer gegebenen Substitutionsklasse gehören
  • Analytic estimates for the Chebotarev density theorem and their applica-tions
    A. A. Zaman [2017]
  • An explicit version of Chebotarev’s density theorem
    S. Das [2020]
  • An explicit upper bound for the least prime ideal in the Chebotarev density theorem
    J. -H. Ahn [2019]
  • An explicit bound for the least prime ideal in the Chebotarev density theorem
    J. Thorner [2017]
  • Algebraic number fields: L-functions and Galois properties (Proc. Sympos)
  • A reduction of the Cebotarev density theorem to the cyclic case
  • A bound for the least prime ideal in the Chebotarev density theorem
  • A Chebotarev variant of the Brun-Titchmarsh theorem and bounds for the Lang-Trotter conjectures
    J. Thorner [2018]