Proof of a conjecture by Đoković on the Poincaré series of the invariants of a binary form (Q740464)
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scientific article; zbMATH DE number 6339320
| Language | Label | Description | Also known as |
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| English | Proof of a conjecture by Đoković on the Poincaré series of the invariants of a binary form |
scientific article; zbMATH DE number 6339320 |
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Proof of a conjecture by Đoković on the Poincaré series of the invariants of a binary form (English)
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3 September 2014
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The authors prove the following conjecture, which is used by \textit{D. Ž. Doković}'s algorithm [Int. J. Contemp. Math. Sci. 1, No. 9--12, 557--568 (2006; Zbl 1154.13302)] for the computation of the Poincaré series of the algebra of invariants of a binary form. For the polynomials \(p_n(z,t),q_n(z,t)\) and \(\phi_n(z,t)\) defined in the introduction of the present paper, there exist polynomials \(a_n,b_n\in\mathbb Z[z,t]\) such that \(\phi_n=a_nq_n+b_np_n\).
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Đoković conjecture
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Dixmier conjecture
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partial fraction decomposition
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