Jacobian conjecture counterexample by LLM

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Jacobianconjecturecounterexample.gif

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DOWNLOAD-DESKTOP-NOTEBOOK.nb (493 KB)

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@Anton, thanks a lot for posting this! I’d like to point to a very relevant and evolving page on the MathWorld website. Here is the code by Eric W. Weisstein:

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Just updated (both notebooks) with references to MathWorld’s Jacobian Conjecture page.

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Raku-based investigation of the Jacobian conjecture counterexample):

  • Results of Wolfram Language (WL) – via wolframscript – are used as a guidance
  • More extensive brute force search
    • Instead a just one result from WL’s FindInstance
    • Using Raku’s built-in parallel programming features
  • Symbolic computations are “outsourced” to be Compute Engine (written in JavaScript) and WL
    • With corresponding cross-verification
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