Large transcendence degrees for the exponential function; modification of the technical hypotheses in Diaz' method

DOI10.5802/afst.819zbMath0878.11031OpenAlexW2332527607MaRDI QIDQ1355434

Sandra Delaunay

Publication date: 22 June 1997

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1996_6_5_1_57_0

zbMATH Keywords

exponential functionlower boundlarge transcendence degreeDiaz' methodLiouville-type inequality

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85)

Cites Work

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• Transcendence degree of some fields generated by values of the exponential function
• Grands degrés de transcendance pour des familles d'exponentielles. (Large transcendence degrees for families of exponentials)
• Quantitative results on algebraic independence for algebraic groups
• Algebraic independence criteria.
• ESTIMATES FOR THE CHARACTERISTIC FUNCTION OF A PRIME IDEAL
• Lemmes de zéros dans les groupes algébriques commutatifs

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