Proof of a conjecture by Đoković on the Poincaré series of the invariants of a binary form

A. Blokhuis; A.E. Brouwer; T. Szönyi

doi:10.1016/j.indag.2012.12.004

Proof of a conjecture by Đoković on the Poincaré series of the invariants of a binary form

A. Blokhuis, A.E. Brouwer, T. Szönyi

Discrete Algebra and Geometry

Research output: Contribution to journal › Article › Academic › peer-review

2 Citations (Scopus)

Abstract

Ðokovic (2006) [3] gave an algorithm for the computation of the Poincaré series of the algebra of invariants of a binary form, where the correctness proof for the algorithm depended on an unproven conjecture. Here we prove this conjecture. Keywords: Ðokovic conjecture; Dixmier conjecture; Partial fraction decomposition

Original language	English
Pages (from-to)	766-773
Journal	Indagationes Mathematicae. New Series
Volume	24
Issue number	4
DOIs	https://doi.org/10.1016/j.indag.2012.12.004
Publication status	Published - 2013

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10.1016/j.indag.2012.12.004

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@article{6acd632bf21f49a08cd7efe8dcfa42a3,

title = "Proof of a conjecture by {\D}okovi{\'c} on the Poincar{\'e} series of the invariants of a binary form",

abstract = "{\DH}okovic (2006) [3] gave an algorithm for the computation of the Poincar{\'e} series of the algebra of invariants of a binary form, where the correctness proof for the algorithm depended on an unproven conjecture. Here we prove this conjecture. Keywords: {\DH}okovic conjecture; Dixmier conjecture; Partial fraction decomposition",

author = "A. Blokhuis and A.E. Brouwer and T. Sz{\"o}nyi",

year = "2013",

doi = "10.1016/j.indag.2012.12.004",

language = "English",

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journal = "Indagationes Mathematicae. New Series",

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T1 - Proof of a conjecture by Đoković on the Poincaré series of the invariants of a binary form

AU - Blokhuis, A.

AU - Brouwer, A.E.

AU - Szönyi, T.

PY - 2013

Y1 - 2013

N2 - Ðokovic (2006) [3] gave an algorithm for the computation of the Poincaré series of the algebra of invariants of a binary form, where the correctness proof for the algorithm depended on an unproven conjecture. Here we prove this conjecture. Keywords: Ðokovic conjecture; Dixmier conjecture; Partial fraction decomposition

AB - Ðokovic (2006) [3] gave an algorithm for the computation of the Poincaré series of the algebra of invariants of a binary form, where the correctness proof for the algorithm depended on an unproven conjecture. Here we prove this conjecture. Keywords: Ðokovic conjecture; Dixmier conjecture; Partial fraction decomposition

U2 - 10.1016/j.indag.2012.12.004

DO - 10.1016/j.indag.2012.12.004

M3 - Article

SN - 0023-3358

VL - 24

SP - 766

EP - 773

JO - Indagationes Mathematicae. New Series

JF - Indagationes Mathematicae. New Series

IS - 4

ER -

Proof of a conjecture by Đoković on the Poincaré series of the invariants of a binary form

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