| Full text | |
| Author(s): |
De Camargo, Andre Pierro
Total Authors: 1
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| Document type: | Journal article |
| Source: | Mathematics of Computation; v. N/A, p. 24-pg., 2025-07-18. |
| Abstract | |
We prove that, for x > q (x real), uniformly in q >= 2, phi(q)/q divided by & sum;j <= x(j,q)=1 mu(j)/j divided by divided by log(x/q) <= 0.3055. The constant 0.3055 is optimal up to the third decimal place. This answers a question of Ramare [Math. Comp. 84 (2015), pp. 1359-1387]. Sharper results are obtained for larger integers q. Similar results are obtained for the sums & sum; (j <= x (j,q )=1) mu (j). (AU) | |
| FAPESP's process: | 22/16222-1 - Divisor Problems Over Special Sequences |
| Grantee: | André Pierro de Camargo |
| Support Opportunities: | Scholarships abroad - Research |