Reducing radicals in the spirit of Euclid

DOI10.1016/j.jsc.2020.07.019zbMath1462.12001arXiv2004.06039OpenAlexW3042445198MaRDI QIDQ2229721

Kurt Girstmair

Publication date: 18 February 2021

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.06039

zbMATH Keywords

Zeilberger's algorithmradical extensions

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Related Items

Chebyshev polynomials and Galois groups of De Moivre polynomials ⋮ Cyclic polynomials arising from the functional equation for Dickson polynomials

Uses Software

• SumTools

Cites Work

• Decreasing the nesting depth of expressions involving square roots
• Simplification of expressions involving radicals
• The method of creative telescoping
• A note on ``Zippel denesting
• How to tangle with a nested radical
• Algorithms for \(m\)-fold hypergeometric summation
• Hypergeometric summation. An algorithmic approach to summation and special function identities
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