Computing a hyperelliptic integral using arithmetic in the Jacobian of the curve

DOI10.1007/BF01235720zbMath0838.12005MaRDI QIDQ1894576

Laurent Bertrand

Publication date: 2 August 1995

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

zbMATH Keywords

algorithmhyperelliptic curveMaplehyperelliptic integralsalgebraic functionintegration in finite terms

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Jacobians, Prym varieties (14H40) Computational aspects of algebraic curves (14Q05) Differential algebra (12H05) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items

Absolute reducibility of differential operators and Galois groups ⋮ Comments on Integration of Algebraic Functions ⋮ New spiky and explosive solitary wave solutions for further modified Zakharov-Kuznetsov equation

Uses Software

• Maple

Cites Work

• On the integration of algebraic functions
• Spécialisation de la suite de Sturm et sous-résultants (I)
• Computing in the Jacobian of a Hyperelliptic Curve
• The solution of the problem of integration in finite terms
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item