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MacMahon Partition Analysis and the Poincaré series of the algebras of invariants of ternary, quaternary and quinary forms

Published 7 Jul 2010 in math.AG and math.CO | (1007.1064v1)

Abstract: By using MacMahon partition analysis technique, the Poincar\'e series for the algebras of invariants of the ternary, quaternary and quinary forms of small orders are calculated.

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