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On a problem of the Goldbach-waring type

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Abstract

LetE(X)=‖{N≤X;N≠p 21 +p 32 +p 43 +p 54 for any primesp i}‖. It is proved in this paper that there exists a positive constant δ>0 such that

$$E\left( X \right) \ll _\delta X^{1 - \delta } $$

which improves a result of prachar.

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Authors and Affiliations

  1. Mathematisches Institut, Universität Freiburg, Albertstrasse 23b, 79104, Freiburg, Germany

    Claus Bauer

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  1. Claus Bauer
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Additional information

During the preparation of this article the author was staying at the Department of Mathematics at Shandong University, P.R. China. He was holding a joint scholarship by the Chinese State Education Commission and the German Academic Exchange Service (DAAD).

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Bauer, C. On a problem of the Goldbach-waring type. Acta Mathematica Sinica 14, 223–234 (1998). https://doi.org/10.1007/BF02560209

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  • DOI: https://doi.org/10.1007/BF02560209

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