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arXiv math/0608147math.AC
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计算二元形式不变量的Poincaré级数的启发式算法

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

Dragomir Ž. Djoković

摘要:

我们提出了一个启发式算法的快速计算的庞加莱系列$P_n(t)$的不变量的二进制形式的程度$n$,视为有理函数。该算法是基于某些多项式的身份,仍有待严格证明。用它计算了$n\le30$的$P_n(t)$。

英文摘要:

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 $n\le30$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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