3 problems

Let $\theta$ be a real number, let $\mu(\theta)$ denote its irrationality measure, and let $\omega(\theta)$ denote its chaotic index. If $\theta$ is a real algebraic number of degr…

Let $\mu(\pi)$ denote the irrationality measure of $\pi$, namely the infimum of the real numbers $\mu$ for which the inequality $\left|\pi-p/q\right|<1/q^{\mu}$ has only finitely m…

For a real number $r$, let $\mu(r)$ denote its irrationality measure. Conjecture on the irrationality measure of $\pi$. … The paper records the known bound $2\leq\mu(\pi)<7.6304$ a…