Timeline for Solving a linear equation with variables with restricted prime factors
Current License: CC BY-SA 4.0
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| May 16, 2018 at 3:34 | comment | added | Greg Martin | I believe a sieve would give an asymptotic formula if the sum of the densities of $\mathcal P_1$ and $\mathcal P_2$ is less than $1/2$, and an upper bound of the right order of magnitude for larger densities. Presumably the answer for your most-interested case is $\asymp T^2/\log T$, but I'm not sure if one can establish an asymptotic formula. | |
| May 15, 2018 at 17:46 | history | asked | Stanley Yao Xiao | CC BY-SA 4.0 |