Geodesic
On the analytic complexity of discriminants
Informatics and Automation, Analytic and geometric issues of complex analysis, Tome 279 (2012), pp. 86-101

Voir la notice de l'article provenant de la source Math-Net.Ru

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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     author = {V. A. Krasikov and T. M. Sadykov},
     title = {On the analytic complexity of discriminants},
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     volume = {279},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2012_279_a7/}
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V. A. Krasikov; T. M. Sadykov. On the analytic complexity of discriminants. Informatics and Automation, Analytic and geometric issues of complex analysis, Tome 279 (2012), pp. 86-101. http://geodesic.mathdoc.fr/item/TRSPY_2012_279_a7/