On Waring-Goldbach problem for one square and seventeen fifth powers of primes

Min Zhang; Jinjiang Li; Fei Xue

On Waring-Goldbach problem for one square and seventeen fifth powers of primes

Number Theory 2024-02-06 v1

Authors: Min Zhang , Jinjiang Li , Fei Xue

Abstract

In this paper, it is established that every sufficiently large positive integer $n$ subject to $n\equiv0\pmod2$ can be represented as a sum of one square of prime and seventeen fifth powers of primes, which gives an enhancement upon the previous result of Br\"{u}dern and Kawada [1].

Keywords

Waring-Goldbach problem prime squares fifth powers of primes additive number theory sufficiently large integers

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@article{arxiv.2402.03076,
  title  = {On Waring-Goldbach problem for one square and seventeen fifth powers of primes},
  author = {Min Zhang and Jinjiang Li and Fei Xue},
  journal= {arXiv preprint arXiv:2402.03076},
  year   = {2024}
}

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6 pages

On Waring-Goldbach problem for one square and seventeen fifth powers of primes

Abstract

Keywords

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