Studia Scientiarum Mathematicarum Hungarica
Volume/Issue:
Volume 46: Issue 3
Sums of five cubes of primes
Authors: Hiroshi Mikawa 1 and Temenoujka Peneva 2
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  • 1 University of Tsukuba Institute of Mathematics Tsukuba 305-8571 Japan
  • 2 University of Plovdiv Faculty of Mathematics and Informatics Plovdiv 4000 Bulgaria
DOI:
https://doi.org/10.1556/sscmath.2009.1095
Page Count:
345–354
Publication Date:
01 Sep 2009
Online Publication Date:
08 Jun 2009
Article Category:
Research Article
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Let A, ɛ > 0 be arbitrary. Suppose that x is a sufficiently large positive number. In this paper we prove that the number of integers n ∈ ( x, x + H ], satisfying some natural conditions, which cannot be represented as the sum of five cubes of primes is ≪ H (log x ) −A , provided that x2/3+ ɛ ≦ H ≦ x .

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Cover Studia Scientiarum Mathematicarum Hungarica
Studia Scientiarum Mathematicarum Hungarica
Print ISSN:
0081-6906
Online ISSN:
1588-2896
Keywords:
Primary 11P32; Secondary 11P55; Sums of powers of primes; Hardy-Littlewood circle method; exponential sums

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