3 problems

Convergence conjecture. There is an irrational $\alpha$ with

Let … be Catalan's constant, and let $\mu(\beta(2))$ denote its irrationality measure. Irrationality-measure conjecture. The irrationality measure of Catalan's constant is … This i…

Let $e$ denote Euler's number and let $\pi$ denote the circle constant. Transcendence conjecture for $e+\pi$. The real number $e+\pi$ is transcendental. The preceding result establ…