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Matematicheskie Zametki, 1996, Volume 60, Issue 5, Pages 681–691
DOI: https://doi.org/10.4213/mzm1881 (Mi mzm1881) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Algebraic independence of the periods of abelian integrals

K. G. Vasil'ev

M. V. Lomonosov Moscow State University
Full-text PDF (218 kB) Citations (13)
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DOI: https://doi.org/10.4213/mzm1881
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.
Received: 16.02.1995
Revised: 18.11.1995
English version:
Mathematical Notes, 1996, Volume 60, Issue 5, Pages 510–518
DOI: https://doi.org/10.1007/BF02309165
Bibliographic databases:
UDC: 511.364
Language: Russian
Citation: K. G. Vasil'ev, “Algebraic independence of the periods of abelian integrals”, Mat. Zametki, 60:5 (1996), 681–691; Math. Notes, 60:5 (1996), 510–518
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
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