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We study the properties of some formal invariants involving the functionof general invertible linear dierence systems. We give a method to compute the-order of an invertible linear dierence system by using an \irreducible form&quot; of thesystem. This yields an ecient algorithm for computing the irregular part involving thefunction in a fundamental matrix of formal solutions. Combining with [5] this gives acomplete algorithm for an eective computation of all the irregular part in a...

Some formal invariants of linear difference systems and their computations