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A Ternary Problem in Additive Prime Number Theory

In: From Arithmetic to Zeta-Functions

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  • Jörg Brüdern

    (Mathematisches Institut)

Abstract

Estimates are obtained for the number of natural numbers below a parameter that do not have a representation as the sum of two squares of primes and a kth power of a prime. These improve earlier bounds in the order of magnitude. The method is then also applied to some related questions.

Suggested Citation

  • Jörg Brüdern, 2016. "A Ternary Problem in Additive Prime Number Theory," Springer Books, in: Jürgen Sander & Jörn Steuding & Rasa Steuding (ed.), From Arithmetic to Zeta-Functions, pages 57-81, Springer.
  • Handle: RePEc:spr:sprchp:978-3-319-28203-9_4
    DOI: 10.1007/978-3-319-28203-9_4
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