A Note on Some Elementary Measures of Algebraic Independence
A Note on Some Elementary Measures of Algebraic Independence
We investigate the algebraic independence of some numbers associated with elliptic functions when one of the numbers is a "Liouville-type" number. Suppose $\wp (z)$ is a Weierstrass elliptic function with algebraic invariants and $\beta$ is an algebraic number, not belonging to the field of multiplications for $\wp (z)$. We establish …