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On The Waring-Goldbach Problem For Eighth And Higher Powers.pdf

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📄 Pages: 15 pages
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Summary

Recent progress on Vinogradov's mean value theorem has led to improved estimates for exponential sums of Weyl type, which are applied to obtain sharper bounds for the function H(k) in the Waring-Goldbach problem. New results are established for all exponents k ≥ 8, with H(k) ≤ (4k - 2) log k + k - 7 for large k, improving on Hua's classical result from the 1940s. Specific bounds are also obtained for H(k) when 8 ≤ k ≤ 20.

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Recent progress on Vinogradov's mean value theorem has led to improved estimates for exponential sums of Weyl type, which are applied to obtain sharper bounds...

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  • File Format: PDF
  • File Size: 325 KB
  • Pages: 15
  • Language: EN
  • Total Downloads: 70
  • Last Updated: 3 weeks ago

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