Sums of five cubes of primes
| Autor: | Hiroshi Mikawa, Temenoujka Peneva |
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| Rok vydání: | 2009 |
| Předmět: | |
| Zdroj: | Studia Scientiarum Mathematicarum Hungarica. 46:345-354 |
| ISSN: | 1588-2896 0081-6906 |
| DOI: | 10.1556/sscmath.2009.1095 |
| Popis: | 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 . |
| Databáze: | OpenAIRE |
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