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Titlebook: Mathematical Essays in honor of Gian-Carlo Rota; Bruce E. Sagan,Richard P. Stanley Book 1998 Birkhäuser 1998 Hilbert space.Hypergeometric

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Mathematical Essays in honor of Gian-Carlo Rota978-1-4612-4108-9Series ISSN 0743-1643 Series E-ISSN 2296-505X
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Progress in Mathematicshttp://image.papertrans.cn/m/image/626084.jpg
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Classification of Trivectors in 6-D Space, in all infinite fields of characteristics other than two or three). In particular, we prove that there is only one invariant. Our work leads to a notable new conjecture on the covariants of supersymmetric tensors.
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Parameter Augmentation for Basic Hypergeometric Series, I,elop a method of deriving hypergeometric identities by parameter augmentation, which means that a hypergeometric identity with multiple parameters may be derived from its special case obtained by reducing some parameters to zero. Many classical results on basic hypergeometric series easily fall into this framework.
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Lattice Walks and Primary Decomposition,statistics, and operations research. We begin this introduction with the general formulation. Then we give the simplest interesting example of our theory, followed by a statistical example similar to that which provided our original motivation. Later on we study the primary decompositions corresponding to some natural combinatorial problems.
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