Baker's dozen digits of two sums involving reciprocal products of an integer and its greatest prime factor
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866917724595159040 |
|---|---|
| author | Gogoberidze, Tengiz O. |
| author_facet | Gogoberidze, Tengiz O. |
| contents | Two sums over the inverse of the product of an integer n and its greatest prime factor G(n), are computed to first 13 decimal digits. These sums converge, but converge very slowly. They are transformed into sums involving Mertens' prime product with the remainder term which are estimated by means of Chebyshev's θ-function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_12047 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Baker's dozen digits of two sums involving reciprocal products of an integer and its greatest prime factor Gogoberidze, Tengiz O. General Mathematics 11Y60 (Primary) 11A41, 11A51 (Secondary) Two sums over the inverse of the product of an integer n and its greatest prime factor G(n), are computed to first 13 decimal digits. These sums converge, but converge very slowly. They are transformed into sums involving Mertens' prime product with the remainder term which are estimated by means of Chebyshev's θ-function. |
| title | Baker's dozen digits of two sums involving reciprocal products of an integer and its greatest prime factor |
| topic | General Mathematics 11Y60 (Primary) 11A41, 11A51 (Secondary) |
| url | https://arxiv.org/abs/2407.12047 |