A transcendence theorem in finite characteristic.

DOI10.5802/JTNB.387zbMath1049.11080OpenAlexW2319276927MaRDI QIDQ1424570

Sophie Dion

Publication date: 16 March 2004

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2003__15_1_57_0

zbMATH Keywords

function field\(j\)-invariantDrinfeld modular formtranscendentalDrinfeld discriminant function

Mathematics Subject Classification ID

Modular forms associated to Drinfel'd modules (11F52) Transcendence (general theory) (11J81) Transcendence theory of Drinfel'd and (t)-modules (11J93)

Cites Work

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• A product expansion for the discriminant function of Drinfeld modules of rank two
• Drinfeld modular curves
• On the coefficients of Drinfeld modular forms
• On the modular equation for Drinfeld modules of rank 2
• Singular moduli and supersingular moduli of Drinfeld modules
• On the coefficients of modular polynomials for Drinfeld modules
• Transcendence of the modular invariant in finite characteristic
• Algebraic independence of the values of certain gap power series in non-Archimedean valued fields
• A proof of the Mahler-Manin conjecture
• On the de Rham isomorphism for Drinfeld modules.
• Modular functions and transcendence questions
• Indépendance algébrique et K-fonctions

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