Arithmetic functions associated with infinitary divisors of an integer
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 function...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000456 |
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| Summary: | 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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| ISSN: | 0161-1712 1687-0425 |