TRANSCENDENCE OF THE MINIMUM OF PRIME-REPRESENTING CONSTANTS (Analytic Number Theory and Related Topics)

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Description

Let (ck) k∈ℕ be a sequence of integers satisfying that Ck ≥ 2 for every k∈ℕ and lim⁻ k→∞ ck = ∞. We investigate the set of A > 1 such that lA[c1…ck]| is a prime number for every k∈ℕ. Let W(ck) be the set of all such A > 1. We show that the minimum of W(ck) exists, and is transcendental.

Journal

  • RIMS Kokyuroku

    RIMS Kokyuroku 2222 107-112, 2022-06

    京都大学数理解析研究所

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Details 詳細情報について

  • CRID
    1050857063661388288
  • NII Book ID
    AN00061013
  • HANDLE
    2433/277183
  • ISSN
    18802818
  • Text Lang
    en
  • Article Type
    departmental bulletin paper
  • Data Source
    • IRDB

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