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A Diophantine Problem with Unlike Powers of Primes

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  • Quanwu Mu
  • Liyan Xi
  • Tingting Wang

Abstract

Let k be an integer with 4≤k≤6 and η be any real number. Suppose that λ1,λ2,…,λ5 are nonzero real numbers, not all of them have the same sign, and λ1/λ2 is irrational. It is proved that the inequality λ1p1+λ2p22+λ3p33+λ4p44+λ5p5k+η

Suggested Citation

  • Quanwu Mu & Liyan Xi & Tingting Wang, 2021. "A Diophantine Problem with Unlike Powers of Primes," Journal of Mathematics, Hindawi, vol. 2021, pages 1-9, March.
    • Handle: RePEc:hin:jjmath:5528753
    DOI: 10.1155/2021/5528753
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