Transcendence theory over function fields

DOI10.1215/S0012-7094-85-05226-3zbMath0574.12015MaRDI QIDQ1063640

Jing Yu

Publication date: 1985

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

latticeexponential functiontranscendenceDrinfeld moduleanalog of Siegel's lemmaHilbert's 7th problem

Mathematics Subject Classification ID

Drinfel'd modules; higher-dimensional motives, etc. (11G09) Transcendence theory of Drinfel'd and (t)-modules (11J93) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (9)

Pólya's theorem of \(\mathbb{F}_ q[T\)] ⋮ Algebraic independence in characteristic two ⋮ Some hypergeometric functions in positive characteristic and transcendence ⋮ On the reduction of a non-torsion point of a Drinfeld module ⋮ The Brownawell-Waldschmidt theorem in finite characteristic ⋮ Transcendence and Drinfeld modules: Several variables ⋮ Lower bounds of linear forms in logarithms for Drinfeld modules ⋮ Fonctions entières totales en caractéristique finie ⋮ Transcendence and Drinfeld modules

Cites Work

• The \(\Gamma\)-ideal and special zeta-values
• Von Staudt for \(\mathbb F_q[T\)]
• On certain functions connected with polynomials in a Galois field
• Certain quantities transcendental over \(\text{GF}(p^n,x)\)
• Transcendence properties of the Carlitz \(\psi\) functions
• Transcendental numbers arising from Drinfeld modules
• Irrationality of lattices in finite characteristic
• ELLIPTIC MODULES
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