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 nt.number-theory
Search options not deleted
user 54267
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
35
votes
Convergence of $\sum(n^3\sin^2n)^{-1}$
There is an even bigger reduction that can be done:
Theorem: The Flint Hills series converges if and only if the series
$$
\sum_{n = 1}^\infty \frac{1}{q_n^3 (q_n\pi - p_n)^2}
\qquad{(1)}
$$
converge …
1
vote
Signed variant of the Flint Hills series
You mentioned my argument from the other thread, which can be used to show that if $\mu(\pi) < 3$, then your series converges. But this also means you can't get any further information about $\mu(\pi) …