On a measure of algebraic independence of values of Jacobi elliptic functions

DOI10.1007/s10958-007-0392-yzbMath1204.11121OpenAlexW2038168762MaRDI QIDQ950806

Ya. M. Kholyavka

Publication date: 28 October 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-007-0392-y

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Elliptic functions and integrals (33E05) Transcendence theory of elliptic and abelian functions (11J89)

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Cites Work

• Über das Abelsche Analogon des Lindemannschen Satzes. I
• Transcendence degree of some fields generated by values of the exponential function
• Abelian varieties and algebraic independence. II: An abelian analogue of the Lindemann-Weierstrass theorem
• Fields of large transcendence degree generated by values of elliptic functions
• Algebraic independence of the values of elliptic function at algebraic points. Elliptic analogue of the Lindemann-Weierstrass theorem
• Elliptic functions and transcendence
• ON ALGEBRAIC INDEPENDENCE OF ALGEBRAIC POWERS OF ALGEBRAIC NUMBERS
• ESTIMATES FOR THE CHARACTERISTIC FUNCTION OF A PRIME IDEAL
• On the measure of algebraic independence of the values of an elliptic function at algebraic points
• ON A MEASURE OF THE ALGEBRAIC INDEPENDENCE OF THE VALUES OF CERTAIN FUNCTIONS
• Approximation algébrique de nombres lies aux fonctions elliptiques et exponentielle
• ESTIMATES FOR THE ORDERS OF ZEROS OF FUNCTIONS OF A CERTAIN CLASS AND APPLICATIONS IN THE THEORY OF TRANSCENDENTAL NUMBERS
• On a measure of algebraic independence of values of an elliptic function
• Contributions to the theory of transcendental numbers (I)
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