Geodesic
Algebraic independence of the periods of abelian integrals
Matematičeskie zametki, Tome 60 (1996) no. 5, pp. 681-691

Voir la notice de l'article provenant de la source Math-Net.Ru

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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     author = {K. G. Vasil'ev},
     title = {Algebraic independence of the periods of abelian integrals},
     journal = {Matemati\v{c}eskie zametki},
     pages = {681--691},
     publisher = {mathdoc},
     volume = {60},
     number = {5},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_60_5_a3/}
}
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K. G. Vasil'ev. Algebraic independence of the periods of abelian integrals. Matematičeskie zametki, Tome 60 (1996) no. 5, pp. 681-691. http://geodesic.mathdoc.fr/item/MZM_1996_60_5_a3/