Asymptotic formulas for sums of elements from a multiplicative group

Jan-Hendrik Evertse, Kálmán Győry, Lajos Hajdu +2

Let $K$ be a number field, $k\ge 2$ an integer, $(K^{\ast }{)}^k$ the $k$-fold direct product of $K^{\ast }$ with coordinatewise multiplication, and $\Gamma$ a finitely generated subgroup of rank $r…