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Asymptotic behavior of S n degrees associated with rational functions

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Abstract

Given an infinte series in the Schur functions \(\sum {{m_\lambda }} {S_\lambda }({x_1}, \ldots ,{x_k})\) which converges to a nice rational function, we compute the asympotics of the sequence \({c_n} = \sum {\{ {m_\lambda }{f^\lambda }|\lambda \vdash n\} } \), where \({f^\lambda }\) is the degree of the S n character corresponding to λ.

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Authors and Affiliations

  1. Department of Mathematics, DePaul University, Chicago, IL, 60614, USA

    Allan Berele & Stefan Catoiu

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  1. Allan Berele
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  2. Stefan Catoiu
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Correspondence to Allan Berele.

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Berele, A., Catoiu, S. Asymptotic behavior of S n degrees associated with rational functions. Isr. J. Math. 208, 351–372 (2015). https://doi.org/10.1007/s11856-015-1202-8

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  • DOI: https://doi.org/10.1007/s11856-015-1202-8

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