13 citations · 59 across the 37 of their papers we have counts for
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MacMahon Partition Analysis and the Poincaré series of the algebras of invariants of ternary, quaternary and quinary forms
Leonid Bedratyuk, Guoce Xin
By using MacMahon partition analysis technique, the Poincaré series for the algebras of invariants of the ternary, quaternary and quinary forms of small orders are calculated.
Bivariate Poincare series for the algebra of covariants of a binary form
Leonid Bedratyuk
A formula for computation of the bivariate Poincaré series for the algebra of covariants of binary -form is found.
The MAPLE package for calculating Poincaré series
Leonid Bedratyuk
We offer a Maple package {\tt Poincare\_Series} for calculating the Poincaré series for the algebras of invariants/covariants of binary forms, for the algebras of joint invariants/…
The Weitzenböck derivations and classical invariant theory. II. The symbolic method
Leonid Bedratyuk
A method based on the symbolic methods of the classical invariant theory is developed for a representation of elements of kernel of Weitzenbök derivations.