Generalized permutation patterns and a classification of the Mahonian statistics.
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Séminaire Lotharingien de Combinatoire [electronic only]
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Babson, Eric, Steingrímsson, Einar (2000)
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Roman Wituła (1996)
Colloquium Mathematicae
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In this paper the fundamental algebraic propeties of convergent and divergent permutations of ℕ are presented. A permutation p of ℕ is said to be divergent if at least one conditionally convergent series of real terms is rearranged by p to a divergent series . All other permutations of ℕ are called convergent. Some generalizations of the Riemann theorem about the set of limit points of the partial sums of rearrangements of a given conditionally convergent series are also studied. ...