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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 301, Pages 219–228 (Mi znsl955)  
The limit shape of Young diagrams for multiplicative statistics with superpolynomial growth

F. V. Petrov

Saint-Petersburg State University
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Abstract: We obtain the limit shape of Young diagrams for a class of multiplicative statistics. In particular, we find the limit shape corresponding to J. Green's function enumerating the characters of $\operatorname{GL}(n, F_q)$.
Received: 15.09.2003
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 129, Issue 2, Pages 3800–3805
DOI: https://doi.org/10.1007/s10958-005-0315-8
Bibliographic databases:
UDC: 519.116+519.111.3+519.111.8+512.547.21
Language: Russian
Citation: F. V. Petrov, “The limit shape of Young diagrams for multiplicative statistics with superpolynomial growth”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part IX, Zap. Nauchn. Sem. POMI, 301, POMI, St. Petersburg, 2003, 219–228; J. Math. Sci. (N. Y.), 129:2 (2005), 3800–3805
Citation in format AMSBIB
\Bibitem{Pet03}
\by F.~V.~Petrov
\paper The limit shape of Young diagrams for multiplicative statistics with superpolynomial growth
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~IX
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 301
\pages 219--228
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl955}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2032057}
\zmath{https://zbmath.org/?q=an:1153.60005}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 129
\issue 2
\pages 3800--3805
\crossref{https://doi.org/10.1007/s10958-005-0315-8}
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