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Algebraic independence of the periods of abelian integrals |
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| Authors: | K. G. Vasil'ev |
| Affiliation: | (1) M. V. Lomonosov Moscow State University, USSR |
| 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.Translated fromMatematicheskie Zametki, Vol. 60, No. 5, pp. 681–691, November, 1996. |
| Keywords: | transcendence Abelian integrals beta function gamma function |
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