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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 240, Pages 67–77
(Mi znsl466)
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Macdonald identities and multidimensional theta-functions
M. A. Vsemirnov St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
A new proof of the combinatorial Macdonald identities is presented. It is shown that one may regard these identities as decomposition of multidimensional theta-functions into infinite products. The proof is pased on some analytical properties of theta-functions. It is discussed briefly now one may modify the proof in order to replace analytical reasonings by the formal ones involving only operations with formal series.
Received: 21.11.1996
Citation:
M. A. Vsemirnov, “Macdonald identities and multidimensional theta-functions”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part II, Zap. Nauchn. Sem. POMI, 240, POMI, St. Petersburg, 1997, 67–77; J. Math. Sci. (New York), 96:5 (1999), 3486–3492
Linking options:
https://www.mathnet.ru/eng/znsl466 https://www.mathnet.ru/eng/znsl/v240/p67
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Abstract page: | 360 | Full-text PDF : | 234 |
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