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I am wondering several things about the Riemann-Hilbert Problem :

  • What is the significance of the Riemann-Hilbert Problem?
  • If solved, how pivotal to mathematics will its effect be?
  • What background is needed to fully understand the problem?
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    $\begingroup$ The applications listed in section 3 here show what the significance is. How pivotal will its effects be? Very pivotal. Background: Complex analysis, algebraic geometry etc. $\endgroup$
    – Dietrich Burde
    Commented Sep 15, 2017 at 18:11
  • $\begingroup$ @DietrichBurde I would like a simple motivating example of the Riemann-Hilbert problem if possible. $\endgroup$
    – reuns
    Commented Sep 15, 2017 at 19:14

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