Polynomial interpolation as detector of orbital equation equivalence

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.

arXiv comment13 pages, sequel of arXiv:1809.05399

References in corpus (1)

• Equivalence among orbital equations of polynomial maps

Cited by in corpus (1)

• Field discriminants of cyclotomic period equations