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 105625
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.
7
votes
1
answer
155
views
Counting matrices of bounded norm in SL_n(Z)
I'm looking for the asymptotic order of growth of the number of points in algebraic groups, such as $\mathrm{SL}_n(\mathbb{Z})$, of height/norm at most $X$, i.e. all entries are at most $X$ in absolut …
- 980
7
votes
Accepted
Counting matrices of bounded norm in SL_n(Z)
The order of growth is
$$
c_n X^{n^2 - n},
$$
where $c_n$ is a constant, explicit if we're working with the Euclidean norm. Thanks to Ofir Gorodetsky for pointing out the Duke-Rudick-Sarnak and Blom …
- 980