Selberg-Jack character sums of dimension 2
type: Item
instance of: scholarly article
title: Selberg-Jack character sums of dimension 2
zbMATH Open document ID: 0883.11051
published in: Journal of Number Theory
publication date: 1998-03-30T00:00:00Z
review text: \textit{K. W. J. Kadell} [ Adv. Math. 130, No. 1, 33-102 (1997)] extended Selberg's \(n\)-dimensional beta integral formula by inserting a normalized Jack polynomial as a factor in the integrand. In this paper the author formulates and proves a character sum analog of Kadell's formula in the case \(n=2\), raising hope that such an analog may exist for general \(n\). In 1981 the author studied character sum analogs of Selberg's integral formula and limiting cases for general \(n\) that have been proved by him in 1991 using G. Anderson's work.
reviewed by: Olaf Ninnemann
Mathematics Subject Classification ID: 11T24
Mathematics Subject Classification ID: 11L10
Mathematics Subject Classification ID: 33D05
Mathematics Subject Classification ID: 05E05
zbMATH DE Number: 809103
zbMATH Keywords: Selberg-Jack character sums
zbMATH Keywords: symmetric functions
zbMATH Keywords: finite fields
zbMATH Keywords: Selberg integral formula
author: Ron Evans
MaRDI profile type: Publication
full work available at URL: jnth.1995.1097
OpenAlex ID: W2094112920
DOI: 10.1006/JNTH.1995.1097
description: scientific article; zbMATH DE number 809103