On an estimate for the orders of zeros of Mahler type functions
On an extension of a theorem of S. Chowla
On irrationality of the values of certain series
On the arithmetic properties of complex values of Hecke-Mahler series. I. The rank one case
Here we characterise, in a complete and explicit way, the relations of algebraic dependence over of complex values of Hecke-Mahler series taken at algebraic points of the multiplicative group , under a technical hypothesis that a certain sub-module of generated by the ’s has rank one (rank one hypothesis). This is the first part of a work, announced in [Pel1], whose main objective is completely to solve a general problem on the algebraic independence of values of these series.
On the Gelfond-Feldman measure of algebraic independence
On the linear independence of roots of unity over finite extensions of Q
On the orders of zero of certain functions
On the Transcendence and Algebraic Independence of Certain Continued Fractions.
Orbits under algebraic groups and logarithms of algebraic numbers