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Results tagged with nt.number-theory
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user 17086
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
1
vote
0
answers
702
views
How quickly is $n\pi$ getting close to integers
Is there an understandable function $A(\epsilon)$ such that if $q < A(\epsilon)$ then $| q\pi - p| > \epsilon$ for all $p$?
I want to know how quickly $n\pi$ is getting close to integers, e.g., if $n …
- 315
14
votes
2
answers
710
views
For what real $t$ is $\{n^t : n \geq 1\}$ linearly independent over $\mathbb{Q}$?
It's straightforward that $t$ must be irrational. I have googled many variations of this question and browsed through some books on transcendental number theory. There is much that is said about when …
- 315