Elsevier

Journal of Number Theory

Volume 54, Issue 1, September 1995, Pages 1-11
Journal of Number Theory

Regular Article
Selberg-Jack Character Sums of Dimension 2

https://doi.org/10.1006/jnth.1995.1097Get rights and content
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Abstract

Kadell extended Selberg′s n-dimensional beta integral formula by inserting a normalized Jack polynomial as a factor in the integrand. We formulate and prove a character sum analog of Kadell′s formula in the case n = 2, raising hope that such an analog may exist for general n.

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