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The real analog of the Jacobi inversion problem on a Riemann surface with boundary, its generalizations, and applications

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Abstract

Given a finite Riemann surface of genus h ≥ 1 with boundary composed of m+1 connected components we consider a system of m+h real congruences analogous to the classical Jacobi inversion problem. We provide a solution to this system and its applications to boundary value problems.

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Authors and Affiliations

  1. Belarusian State University, Minsk, Belarus

    E. I. Zverovich & O. B. Dolgopolova

  2. Belarusian State Technical University, Minsk, Belarus

    E. A. Krushevskiĭ

Authors
  1. E. I. Zverovich
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  2. O. B. Dolgopolova
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  3. E. A. Krushevskiĭ
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Corresponding author

Correspondence to E. I. Zverovich.

Additional information

Minsk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 57, No. 2, pp. 312–331, March–April, 2016; DOI: 10.17377/smzh.2016.57.207.

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Zverovich, E.I., Dolgopolova, O.B. & Krushevskiĭ, E.A. The real analog of the Jacobi inversion problem on a Riemann surface with boundary, its generalizations, and applications. Sib Math J 57, 242–259 (2016). https://doi.org/10.1134/S0037446616020075

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  • DOI: https://doi.org/10.1134/S0037446616020075

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