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Jun 11, 2019 at 18:42 comment added Gerhard Paseman Roughly, learners should start with math.stackexchange. While we don't card at the door, we hope people asking here on MathOverflow have more experience with manipulating O notation than appears in this post. The exponential term (4^stuff) comes from collecting the error terms of the product. (You might check out MathOveflow question 37679 for an older sieve argument.) Gerhard "Big Errors And Small Errors" Paseman, 2019.06.11.
Jun 11, 2019 at 18:14 comment added numbertheorylearner @MarkWildon Thanks. I'm not too familiar with how to manipulate these error terms, so we have a O(1) contribution from approximating the $\lfloor{x}\rfloor$ but I don't see how this will give us the o(1) terms instead... Also thanks for not closing, I'm not sure what the differences are between MathStackexchange and MathOverflow...
Jun 11, 2019 at 18:06 comment added Mark Wildon You seem to have dropped the error term from approximating $\lfloor x \rfloor$ by $x$ in the equation after `therefore we obtain'. I won't vote to close, but I think this question might be better suited to MathStackexchange.
Jun 11, 2019 at 18:00 history edited numbertheorylearner CC BY-SA 4.0
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Jun 11, 2019 at 16:08 history asked numbertheorylearner CC BY-SA 4.0