The four exponentials conjecture and D. Bertrand's conjecture on the modular function

DOI10.5802/jtnb.198zbMath0887.11030OpenAlexW2318933151WikidataQ123024541 ScholiaQ123024541MaRDI QIDQ1382104

Guy Diaz

Publication date: 25 March 1998

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_1997__9_1_229_0

zbMATH Keywords

exponential functionmodular functionalgebraic independencetranscendental numbersfour exponentials conjecture

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Transcendence theory of other special functions (11J91) Transcendence (general theory) (11J81)

Related Items (4)

Products and quotients of linear forms of logarithms of algebraic numbers: conjectures and partial results ⋮ Use of complex conjugation in the transcendence of values of the usual exponential function ⋮ Transcendence and modular functions ⋮ Elliptic Functions and Transcendence

Cites Work

• Theta functions and transcendence
• Matrices whose coefficients are linear forms in logarithms
• A proof of the Mahler-Manin conjecture
• Quadratic relations between logarithms of algebraic numbers
• The algebraic independence of certain numbers related by the exponential function
• Solution du huitieme problème de Schneider
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