On the analytic complexity of discriminants |
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Authors: | V. A. Krasikov T. M. Sadykov |
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Affiliation: | 1. Siberian Federal University, Svobodnyi pr. 79, Krasnoyarsk, 660041, Russia 2. Russian State University of Trade and Economics, ul. Smol’naya 36, Moscow, 125993, Russia
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Abstract: | The paper deals with the notion of analytic complexity introduced by V.K. Beloshapka. We give an algorithm which allows one to check whether a bivariate analytic function belongs to the second class of analytic complexity. We also provide estimates for the analytic complexity of classical discriminants and introduce the notion of analytic complexity of a knot. |
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