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Algebraic independence of the periods of abelian integrals

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Abstract

Abelian integrals of the first and the second kind are proved to have two algebraically independent periods. Some corollaries concerning the algebraic independence of the values of Euler's beta and gamma functions at rational points are derived.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    K. G. Vasil'ev

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  1. K. G. Vasil'ev
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Translated fromMatematicheskie Zametki, Vol. 60, No. 5, pp. 681–691, November, 1996.

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Vasil'ev, K.G. Algebraic independence of the periods of abelian integrals. Math Notes 60, 510–518 (1996). https://doi.org/10.1007/BF02309165

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  • DOI: https://doi.org/10.1007/BF02309165

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