English

A Remark on the Piatetski-Shapiro-Hua Theorem

Number Theory 2017-07-18 v1

Abstract

In this paper, we prove that for any fixed 205/243<γ1205/243<\gamma\leqslant1, every sufficiently large NN satisfying N5(mod24)N\equiv 5 \pmod {24} can be represented as five squares of primes with one prime in Pγ\mathcal{P}_\gamma, which improves the previous result of Zhang and Zhai.

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Cite

@article{arxiv.1707.04839,
  title  = {A Remark on the Piatetski-Shapiro-Hua Theorem},
  author = {Jinjiang Li and Min Zhang},
  journal= {arXiv preprint arXiv:1707.04839},
  year   = {2017}
}

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5 pages