Logarithmic and complex constant term identities
Combinatorics
2013-10-08 v2 Number Theory
Quantum Algebra
Abstract
In recent work on the representation theory of vertex algebras related to the Virasoro minimal models M(2,p), Adamovic 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 Adamovic 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 complex and logarithmic constant term identities for the root system G_2.
Cite
@article{arxiv.1112.3130,
title = {Logarithmic and complex constant term identities},
author = {Tom Chappell and Alain Lascoux and S. Ole Warnaar and Wadim Zudilin},
journal= {arXiv preprint arXiv:1112.3130},
year = {2013}
}
Comments
26 pages