Measures of simultaneous approximation for quasi-periods of Abelian varieties

DOI10.1006/jnth.2001.2733zbMath1030.11033OpenAlexW2070788628MaRDI QIDQ1609540

Pierre Grinspan

Publication date: 15 August 2002

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/cfd5bb150869cb66ffd696c5945d086f0e060ca9

zbMATH Keywords

extensionsheightabelian varietiessimultaneous approximationmeasureperiodsalgebraic independencequasi-periods

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Results involving abelian varieties (11J95)

Related Items (9)

Transcendence measures for algebraic points of Siegel modular function ⋮ A note on a variant of a conjecture of Rohrlich ⋮ Transcendental values of class group \(L\)-functions ⋮ Transcendental values of the incomplete gamma function and related questions ⋮ Linear forms in elliptic logarithms ⋮ Transcendental values of the digamma function ⋮ Linear independence of digamma function and a variant of a conjecture of Rohrlich ⋮ Transcendence of the log gamma function and some discrete periods ⋮ Elliptic Functions and Transcendence

Cites Work

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• Interpolation formulas and auxiliary functions
• Une mesure d'indépendance algébrique. (A measure of algebraic independence)
• Simultaneous approximation and algebraic independence
• The Eisenstein constant
• Diophantine approximation and lattices with complex multiplication
• Polynomial interpolation in several complex variables
• Sur l'approximation algébrique en degré de transcendance un. (On algebraic approximation in transcendence degree one)
• New zero lemmas in commutative algebraic groups
• Algebraic independence of the periods of Abelian integrals
• Periods and minimal abelian subvarieties
• Einbettungen kommutativer algebraischer Gruppen und einige ihrer Eigenschaften.
• Modular forms vanishing at the reducible points of the Siegel upper-half space.
• Mesures d'approximation de valeurs de fonctions analytiques
• Approximation diophantienne dans les groupes algbriques commutatifs. (I): Une version effective du thorme du sous-group algbrique.
• D'une mesure d'approximation simultanee a une mesure d'irrationalite : le cas de Γ(1/4) et Γ(1/3)

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