Algebraic independence of the periods of Abelian integrals

DOI10.1007/BF02309165zbMath0936.11043MaRDI QIDQ1387389

K. G. Vasil'ev

Publication date: 4 August 1998

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

hyperelliptic curvealgebraic independenceabelian functionsperiods of Abelian integralsvalues of Euler \(\Gamma\)-function

Mathematics Subject Classification ID

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

Related Items (5)

Higher Ramanujan Equations and Periods of Abelian Varieties ⋮ Transcendental values of the digamma function ⋮ Linear independence of digamma function and a variant of a conjecture of Rohrlich ⋮ Elliptic Functions and Transcendence ⋮ Measures of simultaneous approximation for quasi-periods of Abelian varieties

Cites Work

• Diophantine approximation
• Diophantine approximation and lattices with complex multiplication
• Gelfond's Method for Algebraic Independence
• On the periods of Abelian functions in two variables
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