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Number of β-free numbers in short intervals

Number of β-free numbers in short intervals
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摘要 The -B -free number is a generalization of the well-known squarefree numbers. The result that if θ】33/80, then the interval [x-xθ,x] must contain a B-free number for large x has been proved. The -B -free number is a generalization of the well-known squarefree numbers. The result that if θ>33/80, then the interval [x-xθ,x] must contain a B-free number for large x has been proved.
出处 《Chinese Science Bulletin》 SCIE EI CAS 2000年第3期208-212,共5页
关键词 β-free NUMBER squarefree NUMBER EXPONENTIAL sum. β-free number, squarefree number, exponential sum.
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参考文献3

  • 1Erdos,P.On the difference of consecutive terms of sequences defined by divisibility properties[].Acta Arithmetica.1966
  • 2Szemeredi,E.On the difference of consecutive terms of sequences defined by divisibility properties Ⅱ[].Acta Arithmetica.1973
  • 3Liu Hongquan.On the number of abelian groups of a given order (supplement)[].Acta Arithmetica.1994

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