Simultaneous approximation of modulus and values of Jacobi elliptic functions (in Ukrainian)

Let $operatorname{sn}_i z$ be algebraically independent Jacobi elliptic functions, $(4K_i,2iK'_i)$ be main periods and $varkappa_1, varkappa_2$ be their moduli $operatorname{sn}_i z$ ($iin{1,2}$). We estimate from below the simultaneous approximation $varkappa_1, varkappa_2, operatorname{sn}_1 K_2, operatorname{sn}_2i K'_1$.