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Sums of One Prime Power and Four Prime Cubes in Short Intervals

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  • Gen Li
  • Xianjiu Huang
  • Xiaoming Pan
  • Li Yang
  • Xiaogang Liu

Abstract

Let k⩾1 be an integer. In this study, we derive an asymptotic formula for the average number of representations of integers n=p1k+p23+p33+p43+p53 in short intervals, where p1,p2,p3,p4,p5 are prime numbers.

Suggested Citation

  • Gen Li & Xianjiu Huang & Xiaoming Pan & Li Yang & Xiaogang Liu, 2023. "Sums of One Prime Power and Four Prime Cubes in Short Intervals," Journal of Mathematics, Hindawi, vol. 2023, pages 1-8, June.
    • Handle: RePEc:hin:jjmath:3244257
    DOI: 10.1155/2023/3244257
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