On uniformization of Burnside’s curve y2=x5−x

DOI10.1063/1.3215981zbMath1283.30070arXivmath/0111150OpenAlexW2059927250MaRDI QIDQ3583658

Yurii V. Brezhnev

Publication date: 17 August 2010

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0111150

zbMATH Keywords

analytic series for holomorphic abelian integralsinteger \(q\)-series for uniformizing functionssolvable Fuchsian equations

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Compact Riemann surfaces and uniformization (30F10) Special algebraic curves and curves of low genus (14H45) Basic hypergeometric integrals and functions defined by them (33D60)

Related Items (4)

The sixth Painlevé transcendent and uniformization of algebraic curves ⋮ Algorithms for solving an algebraic equation ⋮ Uniformization of hyperelliptic curves as a systematic approach to establishing decision regions of hyperbolic signal sets ⋮ On the parametrization of an algebraic curve

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• On the Uniformization of a Special Kind of Algebraic Curve of any Genus

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