Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with analytic-number-theory
Search options not deleted
user 3206
On the blending of real/complex analysis with number theory. The study involves distribution of prime numbers and other problems and helps giving asymptotic estimates to these.
2
votes
Smallest constant so that there are at least $n/\log_2{n}$ primes between $n$ and a constant...
Indeed, the suggestion given in the other thread is quite appropriate. Use a lower bound from Dusart for $\pi(cn)$, and an upper bound for $\pi(n)$, and you want the difference between these bounds t …
- 3,209
2
votes
Accepted
Distribution of composite numbers
I would like to maintain my basic position on the other post: that this forum does not do well with questions that frequently change. Since the last version has hit rather close to home, I will remar …
CommunityBot
- 1
2
votes
Distribution of composite numbers
I am afraid the weak version (at this writing) involving density being less than $1/(x-2)$ doesn't work either. Simply pick $d_i$ and $x$ near but less than $\sqrt{N}$, and
arrange $K$ and $L$ so tha …
- 3,209
1
vote
Small quotients of smooth numbers
Here is some (unverified) computational data, which I encourage others to extend.
I look at the squarefree p-smooth numbers (being $2^k$ in number for $p$ being the $k$th
prime) and compared successi …
- 3,209
1
vote
Jacobsthal function related to squares
I take back what I said in the comments about the bound not shrinking. I am convinced that one can get much tighter bounds, and that the tighter bounds will depend massively on the quadratic residues …
- 3,209