Diophantine approximations for a constant related to elliptic functions

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概要

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• This paper is devoted to the study of rational approximations of the ratio η(λ)/omega(λ), where omega(λ) and η(λ) are the real period and real quasi-period, respectively, of the elliptic curve y<SUP>2</SUP>=x(x-1)(x-λ). Using monodromy principle for hypergeometric function in the logarithm case we obtain rational approximations of (η/omega)(λ) with λ∈ \bm{Q} and we shall find new measures of irrationality, both in the archimedean and non archimedean case.

• 社団法人 日本数学会の論文
• 2001-10-01

著者

• Huttner Marc

  Ufr De Mathematiques Umr Agat Cnrs Universite Des Sciences Et Technologies De Lille

• Huttner Marc

  Ufr De Mathematiques Ura D751 Au Cnrs Universite De Lille I

• MATALA-AHO Tapani

  Matemaattisten tieteiden Laitos

• HUTTNER Marc

  UFR de Mathématiques UMR AGAT CNRS Université des Sciences et Technologies de Lille

関連論文

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