English

A heuristic algorithm for computing the Poincar\'e series of the invariants of binary forms

Commutative Algebra 2009-09-01 v1

Abstract

We propose a heuristic algorithm for fast computation of the Poincar\'{e} series Pn(t)P_n(t) of the invariants of binary forms of degree nn, viewed as rational functions. The algorithm is based on certain polynomial identities which remain to be proved rigorously. By using it, we have computed the Pn(t)P_n(t) for n30n\le30.

Keywords

Cite

@article{arxiv.math/0608147,
  title  = {A heuristic algorithm for computing the Poincar\'e series of the invariants of binary forms},
  author = {Dragomir Ž. Djoković},
  journal= {arXiv preprint arXiv:math/0608147},
  year   = {2009}
}

Comments

11 pages, 1 table. To appear in Int. J. Contemp. Math. Sci. Vol. 1 (2006), 557-568