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A heuristic algorithm for computing the Poincaré series of the invariants of binary forms

Dragomir Ž. Djoković
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Abstract

We propose a heuristic algorithm for fast computation of the Poincaré series $P_n(t)$ of the invariants of binary forms of degree $n$, 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 $P_n(t)$ for $n\le30$.

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Dragomir Ž. Djoković. 2006-08-06. A heuristic algorithm for computing the Poincaré series of the invariants of binary forms. https://arxiv.org/abs/math/0608147

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