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Preprints of the Keldysh Institute of Applied Mathematics, 2017, 054, 16 pp.
DOI: https://doi.org/10.20948/prepr-2017-54 (Mi ipmp2270) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The Hesse coordinates for an algebraic cubic curve

A. I. Aptekarev, D. N. Tulyakov

Keldysh Institute of Applied Mathematics, Russian Academy of Science, Miusskaya Pl.4, Moscow 125047, Russian Federation
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DOI: https://doi.org/10.20948/prepr-2017-54
URL: https://library.keldysh.ru/preprint.asp?id=2017-54&lg=r
Abstract: An algebraic function given by the cubic equation is studied. The function is the spectral curve for a homogenous system of recurrence relations for sequences of $q$-polynomials, appearing in quantum field theory. To find the asymptotics basis of the solutions of these recurrence relations, we do parametrization of the spectral curve by means of the double covering of the cubic Hesse curve.
Keywords: algebraic functions, Riemann surfaces, recurrence relations.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00614
Document Type: Preprint
UDC: 517.53+517.9
Language: Russian
Citation: A. I. Aptekarev, D. N. Tulyakov, “The Hesse coordinates for an algebraic cubic curve”, Keldysh Institute preprints, 2017, 054, 16 pp.
Citation in format AMSBIB
\Bibitem{AptTul17}
\by A.~I.~Aptekarev, D.~N.~Tulyakov
\paper The Hesse coordinates for an algebraic cubic curve
\jour Keldysh Institute preprints
\yr 2017
\papernumber 054
\totalpages 16
\mathnet{http://mi.mathnet.ru/ipmp2270}
\crossref{https://doi.org/10.20948/prepr-2017-54}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Препринты Института прикладной математики им. М. В. Келдыша РАН
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