The Galois theory of the lemniscate

DOI10.1016/j.jnt.2013.08.006zbMath1385.11040arXiv1208.2653OpenAlexW2963321657MaRDI QIDQ2406706

David A. Cox, Trevor Hyde

Publication date: 5 October 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2653

zbMATH Keywords

Galois groupChebyshev polynomiallemniscate

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Class field theory (11R37) Complex multiplication and abelian varieties (14K22) Elliptic functions and integrals (33E05)

Related Items (1)

Ruler and compass constructions of the equilateral triangle and pentagon in the lemniscate curve

Cites Work

• Factorization properties of Chebyshev polynomials
• The arithmetic-geometric mean of Gauss
• Abel's Theorem on the Lemniscate
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