Linear independence of certain Lambert and allied series

Peter Bundschuh, Keijo Väänänen
2005 Acta Arithmetica  
Köln) and Keijo Väänänen (Oulu) 2. Notations and results. Let q be an algebraic number satisfying |q| > 1, and let K := Q(q), d := [K : Q]. We shall consider linear independence (over K) of 1, f (a, α) and f (b, α) , where a = (a n ) and b = (b n ) are linearly independent periodic sequences in K N of period length ≤ 2.
doi:10.4064/aa120-2-7 fatcat:vyw4pcof7vg4pbyfagemjwwnta