Waldschmidt, Michel Auxiliary functions and analytical functionals. II. (Fonctions auxiliaires et fonctionnelles analytiques. II.) (French) Zbl 0742.11036 J. Anal. Math. 56, 255-279 (1991). Vgl. das gemeinsame Referat zu Teil I und II im Zbl 0742.11035. Reviewer: Peter Bundschuh (Köln) Cited in 4 ReviewsCited in 2 Documents MSC: 11J81 Transcendence (general theory) 11J85 Algebraic independence; Gel’fond’s method 11J86 Linear forms in logarithms; Baker’s method Keywords:Thue-Siegel lemma; exponential polynomial in several variables; Baker’s method; Schneider’s method; Gel’fond method; Hilbert’s seventh problem; Fourier-Borel transform; functionals PDF BibTeX XML Cite \textit{M. Waldschmidt}, J. Anal. Math. 56, 255--279 (1991; Zbl 0742.11036) Full Text: DOI References: [1] [L] M. Laurent,Déterminant d’interpolation et théorème de Gel’fond-Schneider, manuscript. [2] [LG] P. Lelong and L. Gruman,Entire functions of several complex variables, Grundlehr. Math. Wiss,282, Springer-Verlag, Berlin, 1986. · Zbl 0583.32001 [3] [M] D. W. Masser,Interpolation on group varieties inApproximations diophantiennes et nombres transcendants, Luminy 1982, Birkhäuser Verlag, P.M.31 (1983), 151–171. [4] [P] P. Philippon,Lemme de zéros dans les groupes algébriques commutatifs, Bull. Soc. Math. France114 (1986), 355–383, et115 (1987), 397–398. · Zbl 0617.14001 [5] [W] M. Waldschmidt,Dépendance de logarithmes dans les groupes algébriques, inApproximations diophantiennes et nombres transcendants, Luminy 1982, Birkhäuser Verlag, P. M.31 (1983), 289–328. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.