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Keldysh Institute preprints, 2007, 013 (Mi ipmp468)  

This article is cited in 3 scientific papers (total in 3 papers)

Three-sheeted Riemann surfaces of genus 0 with fixed projections of the branch points

A. I. Aptekarev, V. G. Lysov, D. N. Tulyakov


Abstract: New constructive procedures for determination of the equations for the algebraic functions of the third order and of genus zero are proposed. We discovered that there exist four types of the Riemann surfaces for these functions, which are distinguished by the groups of permutations of the sheets in the branch points. Using the coefficients of the equations we compute the extremal cuts of the Riemann surfaces. These cuts are the attractive sets for the poles of the Hermite–Padé approximants.

Full text: PDF file (259 kB)

Document Type: Preprint

Citation: A. I. Aptekarev, V. G. Lysov, D. N. Tulyakov, “Three-sheeted Riemann surfaces of genus 0 with fixed projections of the branch points”, Keldysh Institute preprints, 2007, 013, 21 pp.

Citation in format AMSBIB
\Bibitem{AptLysTul07}
\by A.~I.~Aptekarev, V.~G.~Lysov, D.~N.~Tulyakov
\paper Three-sheeted Riemann surfaces of genus 0 with fixed projections of the branch points
\jour Keldysh Institute preprints
\yr 2007
\papernumber 013
\totalpages 21
\mathnet{http://mi.mathnet.ru/ipmp468}


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  • http://mi.mathnet.ru/eng/ipmp/y2007/p13

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. I. Aptekarev, D. N. Tulyakov, “Geometry of Hermite-Padé approximants for system of functions $\{f,f^2\}$ with three branch points”, Preprinty IPM im. M. V. Keldysha, 2012, 077, 25 pp.  mathnet
    2. V. G. Lysov, D. N. Tulyakov, “O vektornoi teoretiko-potentsialnoi zadache s matritsei Anzhelesko”, Preprinty IPM im. M. V. Keldysha, 2016, 110, 36 pp.  mathnet  crossref
    3. V. G. Lysov, “Silnaya asimptotika approksimatsii Ermita–Pade dlya sistemy Nikishina s vesami Yakobi”, Preprinty IPM im. M. V. Keldysha, 2017, 085, 35 pp.  mathnet  crossref
  • Препринты Института прикладной математики им. М. В. Келдыша РАН
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