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A new approach to constant term identities and Selberg-type integrals
- Source :
- Advances in Mathematics 277 (2015) 252-282
- Publication Year :
- 2013
-
Abstract
- Selberg-type integrals that can be turned into constant term identities for Laurent polynomials arise naturally in conjunction with random matrix models in statistical mechanics. Built on a recent idea of Karasev and Petrov we develop a general interpolation based method that is powerful enough to establish many such identities in a simple manner. The main consequence is the proof of a conjecture of Forrester related to the Calogero--Sutherland model. In fact we prove a more general theorem, which includes Aomoto's constant term identity at the same time. We also demonstrate the relevance of the method in additive combinatorics.<br />Comment: 21 pages
- Subjects :
- Mathematics - Combinatorics
Mathematical Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- Advances in Mathematics 277 (2015) 252-282
- Publication Type :
- Report
- Accession number :
- edsarx.1312.6369
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.aim.2014.09.028