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  • 标题:Arithmetic functions associated with infinitary divisors of an integer
  • 本地全文:下载
  • 作者:Graeme L. Cohen ; Peter Hagis Jr.
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:1993
  • 卷号:16
  • DOI:10.1155/S0161171293000456
  • 出版社:Hindawi Publishing Corporation
  • 摘要:The infinitary divisors of a natural number n are the products of its divisors of the form pyα2α, where py is a prime-power component of n and ∑αyα2α (where yα=0 or 1) is the binary representation of y. In this paper, we investigate the infinitary analogues of such familiar number theoretic functions as the divisor sum function, Euler's phi function and the Möbius function.
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