Transcendence measure of $e^{1/n}$

Marta Dujella, Anne-Maria Ernvall-Hytönen, Linda Frey +1

For a given transcendental number $\xi$ and for any polynomial $P(X)=:{\lambda }_0+\cdots +{\lambda }_k{X}^k\in \mathbb{Z}[X]$, we know that $P(\xi )\ne 0.$ Let $k\ge 1$ and $\omega (k,H)$ be the infimum…