Geodesic
On the analytic complexity of discriminants
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 279 (2012), pp. 86-101

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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. 
@article{TM_2012_279_a7,
     author = {V. A. Krasikov and T. M. Sadykov},
     title = {On the analytic complexity of discriminants},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {86--101},
     publisher = {mathdoc},
     volume = {279},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2012_279_a7/}
}
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V. A. Krasikov; T. M. Sadykov. On the analytic complexity of discriminants. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 279 (2012), pp. 86-101. http://geodesic.mathdoc.fr/item/TM_2012_279_a7/