Feature #585
(Hilbert-) quasi-polynomials
Status:
Closed
Priority:
Normal
Assignee:
Category:
New Function
Target version:
Description
For objects (cones, algebras,..) which are not generated in degree 1 the Hilbert function is not a polynomial anymore, but a quasi-polynomial.
A quasi-polynomial Q of period p is a polynomial with periodic coefficients, in other word, a collection of polynomials Q_0 , . . . , Q_{p-1} with Q(i) = Q_j(i) when i is congruent j mod pi.
How to represent them? (in CoCoALib and also CoCoA5)
Easy possibility: A vector of regular polynomials. It can be combined with an evaluation function that chooses the right Q_i.
History
#1 Updated by John Abbott almost 10 years ago
- Category set to New Function
- Status changed from New to Feedback
- Assignee set to John Abbott
- Target version set to CoCoALib-0.99534 Seoul14
- % Done changed from 0 to 90
- Estimated time set to 2.70 h
Implemented; tested; documented; checked in. So status-->FEEDBACK!
#2 Updated by John Abbott over 9 years ago
- Status changed from Feedback to Closed
- % Done changed from 90 to 100
Christof has reported no problems, so closing.