2021/03/22 by Haddad, Labib
#11 #FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.2103.13307
Transcendence criteria inspired by Kolberg's paper dated 1962. In his paper dated 1962, Kolberg states and proves a theorem on the transcendence of the values of the sums of a class of certain power series in x, for algebraic values of x. It builds on Lindemann's theorem and uses, en passant, a transcendence criterion for the values of certain rational fonctions. This last criterion is made explicit. We clarify certain delicate points of the proof and show how to extend its scope.