An identity for a class of arithmetical functions of two variables
For a positive integer r, let r∗ denote the quotient of r by its largest squarefree divisor (1∗=1). Recently, K. R. Johnson proved that(∗)∑d|n|C(d,r)|=r∗∏pa‖nr∗p+r(a+1)∏pa‖nr∗p|r(a(p−1)+1) or 0according as r∗|n or not where C(n,r) is the well known Ramanujan's sum. In this paper, using a d...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
1988-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171288000419 |