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Sbornik Mathematics
Volumn 192, Issue 7-8, 2001, Pages 1225-1239
On linear independence of values of generalized polylogarithms

(1)  Sorokin, V N a  

a NONE
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EID: 0035649663     PISSN: 10645616     EISSN: 14684802     Source Type: Journal    
DOI: 10.1070/SM2001v192n08ABEH000590     Document Type: Article
Times cited : (3)
References (16)
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    • (1997) Mat. Sb. , vol.188 , Issue.5 , pp. 33-58
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  • 3
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    • English transl.
    • A. A. Gonchar, E. A. Rakhmanov, and V. N. Sorokin, "Hermite-Padé approximants for systems of Markov-type functions", Mat. Sb. 188:5 (1997), 33-58; English transl. in Sb. Math. 188 (1997).
    • (1997) Sb. Math. , vol.188
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    • Lyndon words, polylogarithms and Riemann ζ function
    • H. N. Minh and M. Petitot, "Lyndon words, polylogarithms and Riemann ζ function", Discrete Math. 217:1-3 (2000), 273-292.
    • (2000) Discrete Math. , vol.217 , Issue.1-3 , pp. 273-292
    • Minh, H.N.1    Petitot, M.2
  • 6
    • 0000023788 scopus 로고
    • On irrationality of the values of the functions F(x,s)
    • E. M. Nikishin, "On irrationality of the values of the functions F(x,s)", Mat. Sb. 109 (151) (1979), 410-418; English transl. in Math. USSR-Sb. 37 (1980).
    • (1979) Mat. Sb. , vol.109 , Issue.151 , pp. 410-418
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    • English transl.
    • E. M. Nikishin, "On irrationality of the values of the functions F(x,s)", Mat. Sb. 109 (151) (1979), 410-418; English transl. in Math. USSR-Sb. 37 (1980).
    • (1980) Math. USSR-Sb. , vol.37
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    • Sorokin, V.N.1
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    • English transl.
    • V. N. Sorokin, "Hermite-Padé approximations for sequential logarithm degrees with number-theoretic applications", Izv. Vyssh. Uchebn. Zaved. Mat. 1991:11, 66-74; English transl. in Soviet Math. (Iz. VUZ) 35 (1991).
    • (1991) Soviet Math. (Iz. VUZ) , vol.35
  • 10
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    • Zur approximation der exponentialfunktion und des logarithmus
    • K. Mahler, "Zur Approximation der Exponentialfunktion und des Logarithmus", J. Reine Angew. Math. 166 (1932), 118-150.
    • (1932) J. Reine Angew. Math. , vol.166 , pp. 118-150
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    • 2
    • 2", Mat. Sb. 187:12 (1996), 87-120; English transl. in Sb. Math. 187 (1996).
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    • Sorokin, V.N.1
  • 12
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    • English transl.
    • 2", Mat. Sb. 187:12 (1996), 87-120; English transl. in Sb. Math. 187 (1996).
    • (1996) Sb. Math. , vol.187
  • 14
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    • English transl.
    • V. N. Sorokin, "On Apery theorem", Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1998:3, 48-53; English transl. in Moscow Univ. Math. Bull. 53 (1998).
    • (1998) Moscow Univ. Math. Bull. , vol.53
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    • Rational approximations to the dilogarithm
    • M. Hata, "Rational approximations to the dilogarithm", Trans. Amer. Math. Soc. 336 (1993), 363-387.
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    • Hata, M.1
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    • Perfect systems
    • K. Mahler, "Perfect systems", Compositio Math. 19 (1968), 95-166.
    • (1968) Compositio Math. , vol.19 , pp. 95-166
    • Mahler, K.1

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