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On the linear independence of certain numbers

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Abstract

With the help of a version of Siegel’s method, we establish in a fairly general case the linear independence of values of hypergeometric functions with irrational parameters and their derivatives; the corresponding quantitative results are obtained.

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Authors and Affiliations

  1. N. É. Bauman Moscow State Technical University, Moscow, USSR

    P. L. Ivankov

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  1. P. L. Ivankov
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Translated fromMatematicheskie Zametki, Vol. 62, No. 3, pp. 383–390, September, 1997.

Translated by A. M. Chebotarev

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Ivankov, P.L. On the linear independence of certain numbers. Math Notes 62, 323–328 (1997). https://doi.org/10.1007/BF02360873

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  • DOI: https://doi.org/10.1007/BF02360873

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