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arXiv · 1810.02312

Polynomial interpolation as detector of orbital equation equivalence

Owen J. Brison·Jason A. C. Gallas
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Abstract

Equivalence between algebraic equations of motion may be detected by using a $p$-adic method, methods using factorization and linear algebra, or by systematic computer search of suitable Tschirnhausen transformations. Here, we show standard {\sl polynomial interpolation} to be a competitive alternative method for detecting orbital equivalences and field isomorphisms. Efficient algorithms for ascertaining equivalences are relevant for significantly minimizing computer searches in theoretical and practical applications.

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Owen J. Brison, Jason A. C. Gallas. 2018-09-29. Polynomial interpolation as detector of orbital equation equivalence. https://doi.org/10.1142/s0129183118500961

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