New posts in Diophantine Approximation

How to find $\sum_{i=1}^n\left\lfloor i\sqrt{2}\right\rfloor$ A001951 A Beatty sequence: a(n) = floor(n*sqrt(2)).

Line through the origin mod $1$ visits every sub-cube in $\mathbb{R}^n$.

How to prove that $[2^n \sqrt{2}],[2^{n+1} \sqrt{2}],\ldots, [2^{2n} \sqrt{2}]$ contains at least one even numbers for every integer $n\ge 1$?

A series to prove $\frac{22}{7}-\pi>0$

Lower bound on $|a+b \sqrt{2} + c \sqrt{3}|$

How was this approximation of $\pi$ involving $\sqrt{5}$ arrived at?

Can the golden ratio accurately be expressed in terms of $e$ and $\pi$

Does the series $ \sum\limits_{n=1}^{\infty} \frac{1}{n^{1 + |\sin(n)|}} $ converge or diverge?

Proving that $m+n\sqrt{2}$ is dense in $\mathbb R$

Can we make $\tan(x)$ arbitrarily close to an integer when $x\in \mathbb{Z}$?