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Martin Sleziak
Martin Sleziak
8:17 AM
Personally I think the the tags (density) and (linear), which you have created in this question should be removed altogether. The tags with ambiguous names which are used in various contexts are very probably going to be misused. But if you really see the need for creating these new tags, the very least you should do is describing the intended usage in the tag-excerpt and tag-wiki.
2
Q: Density of linear combination

Elie BergmanLet $r_1, \ldots, r_n$ be a set of positive reals. Define $S = \{a_1r_1+\cdots+a_nr_n : a_i\in \mathbb{N}\}$. Define $\pi(x)= |\{a\in S:a<x\}|$. Is there an asymptotic formula for $\pi(x)$ as $x \to \infty$ ? For $n=1$, $\pi(x) \approx x/a_1 $. But I'm pretty unsure how to generalize this.

asymptotics combinations density linear
 
 
11 hours later…
Martin Sleziak
Martin Sleziak
7:41 PM
The tags I've mentioned in the above comment are already removed from the question.
 
 
2 hours later…
Yes
Yes
9:43 PM
Ugh, there is now greatest-common-divisor tag, different from gcd that was synonymized to divisibility. Whatever one may think of the latter synonym, having two different places for "greatest common divisor" and "gcd" makes no sense.
 

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