Abstract
For a natural number N, let (Formula Presented) The formula for convolution sums (Formula Presented) is very well known. In this article, (Formula Presented) is calculated using arithmetical inverse of λ defined by Dirichlet convolution. Furthermore, we define the homogeneous Dirichlet convolution sum of arithmetical functions and find formulas of the homogeneous Dirichlet convolution sums of the inverse divisor functions.
| Original language | English |
|---|---|
| Article number | MTJPAM-D-24-00089 |
| Pages (from-to) | 284-298 |
| Number of pages | 15 |
| Journal | Montes Taurus Journal of Pure and Applied Mathematics |
| Volume | 6 |
| Issue number | 3 |
| State | Published - 2024 |
Keywords
- Dirichlet convolution
- homogeneous convolution sums
- restricted divisor functions
Quacquarelli Symonds(QS) Subject Topics
- Mathematics
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