Titlebook: MathPhys Odyssey 2001; Integrable Models an Masaki Kashiwara,Tetsuji Miwa Book 2002 Birkhäuser Boston 2002 Applications of Mathematics.Comb

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,-Supernomial Coefficients: From Riggings to Ribbons,c function in a product of the complete symmetric functions or the elementary symmetric functions. Hatayama et al give an explicit expression for these .-supemomial coefficients. A combinatorial expression as the generating function of ribbon tableaux with (co)spin statistic follows from the work of

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娘娘腔

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1544-9998 Overview: 978-1-4612-6605-1978-1-4612-0087-1Series ISSN 1544-9998 Series E-ISSN 2197-1846

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https://doi.org/10.1007/978-1-4612-0087-1Applications of Mathematics; Combinatorics; Groups and Generalizations; Lattice; algebra; conformal field

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Evaluation of Integrals Representing Correlations in the XXX Heisenberg Spin Chain,We study the XXX Heisenberg spin 1/2 anti-ferromagnet. We evaluate a probability of formation of a ferromagnetic string in the anti-ferromagnetic ground state in the thermodynamical limit. We prove that for short strings the probability can be expressed in terms of the Riemann zeta function with odd arguments.