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Holonomic functions in computer algebra (slides, talk)

✍ Scribed by Chyzak.

Book ID
127399604
Tongue
English
Weight
211 KB
Category
Library

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πŸ“œ SIMILAR VOLUMES

Computing Riemann–Roch Spaces in Algebra
Computing Riemann–Roch Spaces in Algebraic Function Fields and Related Topics
✍ F. Hess πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 389 KB

We develop a simple and efficient algorithm to compute Riemann-Roch spaces of divisors in general algebraic function fields which does not use the Brill-Noether method of adjoints or any series expansions. The basic idea also leads to an elementary proof of the Riemann-Roch theorem. We describe the

An Algorithm for Computing an Integral B
An Algorithm for Computing an Integral Basis in an Algebraic Function Field
✍ Mark van Hoeij πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 310 KB

Algorithms for computing integral bases of an algebraic function field are implemented in some computer algebra systems. They are used e.g. for the integration of algebraic functions. The method used by Maple 5.2 and AXIOM is given by Trager in [Trager,1984]. He adapted an algorithm of Ford and Zass