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Results tagged with nt.number-theory
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user 140709
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
2
votes
Accepted
Simultaneous small fractional parts of polynomials
The claim is true as stated, and can be arrived at using Weyl's criterion which was pointed out in the comments. As I post this answer, there is no consensus on the rate of convergence of the $N$.
We …
- 509
8
votes
1
answer
269
views
Simultaneous small fractional parts of polynomials
Fix $\epsilon>0$. For a finite set of arbitrary-degree polynomials with integer constant term, $p_1(x), ..., p_m(x)\in \mathbb{R}[x]$ is it possible to find an $n\in \mathbb{N}$ such that $$\max_{i=1, …
- 509