New posts in Diophantine Approximation

Rational approximations of $\sqrt{2}$ in $\mathbb{R} \times \mathbb{Q}_7$

Is the series $\sum_n|\sin n|^n/n$ convergent?

Sequential addition of points on a circle, optimizing asymptotic packing radius

Growth of a linear recurrent sequence

Are there any solutions to the diophantine equation $x^n-2y^n=1$ with $x>1$ and $n>2$?

Does $a_n=\prod^n_{k=1}(1-e^{k\alpha \pi i})$ converge to zero when $\alpha$ is irrational?

Can two rational rotations $F_2 = \langle A, B \rangle \to SO(3)$ efficiently approximate the $3 \times 3$ identity matrix?

Massive cancellations

Advances and difficulties in effective version of Thue-Roth-Siegel Theorem

If $2^x $and $3^x$ are integers, must $x$ be as well?