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.