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Mathematics of the USSR-Sbornik, 1991, Volume 69, Issue 1, Pages 203–226
DOI: https://doi.org/10.1070/SM1991v069n01ABEH002113 (Mi sm1151) 		 
This article is cited in 19 scientific papers (total in 19 papers)

A criterion for the algebraic independence of values of a class of hypergeometric $E$-functions

V. Kh. Salikhov

M. V. Lomonosov Moscow State University
English version PDF (1097 kB) Citations (19)
References:
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DOI: https://doi.org/10.1070/SM1991v069n01ABEH002113
Abstract: A criterion for the irreducibility of the equation
$$ \biggl\{\biggl(z\frac\partial{dz}+\lambda_1\biggr)\dotsb\biggl(z\frac\partial{dz}+\lambda_{t+l}\biggr)-z^t\biggl(z\frac\partial{dz}+\nu_1\biggr)\dotsb \biggl(z\frac\partial{dz}+\nu_l\biggr)\biggr\}(y)=0 $$
is established in the case when $l\geqslant 0$ and $t$ is odd. Arithmetical applications of this result are obtained.
Received: 23.05.1988
Russian version:
Matematicheskii Sbornik, 1990, Volume 181, Number 2, Pages 189–211
Bibliographic databases:
UDC: 511.36
MSC: 11J85, 33A35
Language: English
Original paper language: Russian
Citation: V. Kh. Salikhov, “A criterion for the algebraic independence of values of a class of hypergeometric $E$-functions”, Mat. Sb., 181:2 (1990), 189–211; Math. USSR-Sb., 69:1 (1991), 203–226
Citation in format AMSBIB
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\by V.~Kh.~Salikhov
\paper A~criterion for the algebraic independence of values of a~class of hypergeometric $E$-functions
\jour Mat. Sb.
\yr 1990
\vol 181
\issue 2
\pages 189--211
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\transl
\jour Math. USSR-Sb.
\yr 1991
\vol 69
\issue 1
\pages 203--226
\crossref{https://doi.org/10.1070/SM1991v069n01ABEH002113}
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  • https://www.mathnet.ru/eng/sm/v181/i2/p189
    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1989–1990 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:265
    Russian version PDF:84
    English version PDF:12
    References:38
    First page:1
     
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