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2013 | OriginalPaper | Chapter

11. Logarithmic and Complex Constant Term Identities

Authors : Tom Chappell, Alain Lascoux, S. Ole Warnaar, Wadim Zudilin

Published in: Computational and Analytical Mathematics

Publisher: Springer New York

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Abstract

In recent work on the representation theory of vertex algebras related to the Virasoro minimal models M(2, p), Adamović and Milas discovered logarithmic analogues of (special cases of) the famous Dyson and Morris constant term identities. In this paper we show how the identities of Adamović and Milas arise naturally by differentiating as-yet-conjectural complex analogues of the constant term identities of Dyson and Morris. We also discuss the existence of complex and logarithmic constant term identities for arbitrary root systems, and in particular prove such identities for the root system G₂.

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Title: Logarithmic and Complex Constant Term Identities
Authors: Tom Chappell
Alain Lascoux
S. Ole Warnaar
Wadim Zudilin
Publisher: Springer New York
Book: Computational and Analytical Mathematics
Print ISBN: 978-1-4614-7620-7

Electronic ISBN: 978-1-4614-7621-4

Copyright Year: 2013
DOI: https://doi.org/10.1007/978-1-4614-7621-4_11

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