Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-28T09:40:02.234Z Has data issue: false hasContentIssue false
  • English
  • Français

REDUCED WEIL MODELS FOR REPRESENTATIONS OF GL(2, ℝ) AND BARNES' LEMMA

Published online by Cambridge University Press:  01 February 1997

HUMBERTO E. PRADO
HUMBERTO E. PRADO
Affiliation:
Departamento de Matematicas, Universidad Catolica del Norte, Casilla 1280, Antofagasta, Chile
Get access

Abstract

In order to obtain the linear relations among the 24-solutions for the p-differential equation of Riemann, Barnes [12] discovered an elegant method which uses the following identity for the classical Γ function.

For complex numbers α, β, γ, δ the equality

formula here

holds and the path of integration from −i∞ to +i∞ is curved so that the poles of Γ(γ−s) Γ(δ−s) lie on the right and the poles of Γ(α+s) Γ(β+s) lie on the left.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 55 , Issue 1 , February 1997 , pp. 159 - 169
Copyright
The London Mathematical Society 1997

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)