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math.CO2025
Finite Interpretation of the Hyper-Catalan Series Zero and its Powers
Dean Rubine, Pratham Mukewar
In 2025, Wildberger and Rubine showed the formal series zero of the univariate geometric polynomial is , the generating series for the hyper-Catalan numbers $\mathbf{C}…
math.CO2025
Finite Interpretations of a Hyper-Catalan Series Solution to Polynomial Equations and Visualizations
Pratham Mukewar
The solution to the general univariate polynomial equation has been sought for centuries. It is well known there is no general solution in radicals for degrees five and above. The…