Transcendence and Drinfeld modules

DOI10.1007/BF01394419zbMath0586.12010MaRDI QIDQ1071808

Jing Yu

Publication date: 1986

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143324

zbMATH Keywords

transcendenceDrinfeld modulezeta-functionmodular functionperiodalgebraic function field

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Transcendence theory of Drinfel'd and (t)-modules (11J93) Formal groups, (p)-divisible groups (14L05)

Related Items (24)

Transcendence of special values of quasi-modular forms ⋮ Algebraic independence and products of Drinfeld modules ⋮ On the coefficients of Drinfeld modular forms ⋮ New aspects of transcendence ⋮ The \(\Gamma\)-function in the arithmetic of function fields ⋮ Sur la transcendance de la série formelle Π ⋮ Algebraic independence of values of Goss \(L\)-functions at \(s=1\) ⋮ Some hypergeometric functions in positive characteristic and transcendence ⋮ A rapid introduction to Drinfeld modules, \(t\)-modules, and \(t\)-motives ⋮ Frobenius difference equations and difference Galois groups ⋮ On periods of the third kind for rank 2 Drinfeld module ⋮ Zeros of certain Drinfeld modular functions ⋮ Automata and transcendence in positive characteristic ⋮ Special values of Drinfeld modular forms and algebraic independence ⋮ Transcendence of the values of the Carlitz zeta function by Wade's method ⋮ Arithmetic of Gamma, Zeta and Multizeta Values for Function Fields ⋮ Schanuel property for additive power series ⋮ Unnamed Item ⋮ Transcendence and Drinfeld modules: Several variables ⋮ Transcendence in positive characteristic and special values of hypergeometric functions ⋮ Obituary of Alan Baker FRS ⋮ Unnamed Item ⋮ Algebraic independence of periods and logarithms of Drinfeld modules ⋮ Irrationality of \(\zeta(s)\) for \(s\leq q\) in certain Drinfeld modules of rank 1

Cites Work

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• Zur Arithmetik von Drinfeld-Moduln
• On a new type of \(L\)-function for algebraic curves over finite fields
• A six exponentials theorem in finite characteristic
• Transcendence theory over function fields
• The \(\Gamma\)-ideal and special zeta-values
• On certain functions connected with polynomials in a Galois field
• Certain quantities transcendental over \(\text{GF}(p^n,x)\)
• Transcendental numbers arising from Drinfeld modules
• The algebraist’s upper half-plane

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