We shall consider a result of Fel'dman, where a sharp Baker-type lower bound is obtained for linear forms in the values of some E-functions. Fel'dman's proof is based on an explicit construction of Pad\'e approximations of the first kind for these functions. In the present paper we introduce Pad\'e approximations of the second kind for the same functions and use these to obtain a slightly improved version of Fel'dman's result.
Linear forms of a given Diophantine type
Étude du cas rationnel de la théorie des formes linéaires de logarithmes. (French) [Study of the rational case of the theory of linear forms in logarithms]
Equidistribution of values of linear forms on a cubic hypersurface
![QR code for arXiv:1704.01762 [math.NT]](http://oss.arxitics.com/images/favicon.svg)