On the linear independence of the set of Dirichlet exponents
On the linear independence of the set of Dirichlet exponents
Given k ≥ 2 let α1, ..., αk be transcendental numbers such that α1, ..., αk–1 are algebraically independent over Q and αk $\in$ Q(α1, ..., αk–1), but αk, ≠ (aαi + c)/b for some i $\in$ {1, ..., k – 1} and some a, b $\in$ N, c $\in$ …