This article is cited in 1 paper

Remarks on a triple integral

Bui Van Binh, Vadim Schechtman

Institute de Mathématique de Toulouse, Université Paul Sabatier, 31062 Toulouse, France

Abstract: We study real, $p$-adic and $q$-deformed versions of a triple integral appeared in physics in connection with the Liouville model of the Conformal field theory. These integrals turn out to be connected with the Dyson–Macdonald constant term identities.

Key words and phrases: gamma function, $p$-adic integrals, Liouville model, Conformal field theory, Dyson–Macdonald identities.

MSC: 33B15, 33D05, 33D52, 22E30, 22E35, 33D80

Received: May 31, 2012

Language: English

DOI: 10.17323/1609-4514-2013-13-4-585-600

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