On Matrices Arising in the Finite Field Analogue of Euler’s Integral Transform

Michael Griffin and Larry Rolen
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Michael Griffin: Department of Math & CS, Emory University, 400 Dowman Dr., W401 Atlanta, GA, 30322, USA
Larry Rolen: Department of Math & CS, Emory University, 400 Dowman Dr., W401 Atlanta, GA, 30322, USA

Mathematics, 2013, vol. 1, issue 1, 1-6

Abstract: In his 1984 Ph.D. thesis, J. Greene defined an analogue of the Euler integral transform for finite field hypergeometric series. Here we consider a special family of matrices which arise naturally in the study of this transform and prove a conjecture of Ono about the decomposition of certain finite field hypergeometric functions into functions of lower dimension.

Keywords: hypergeometric series; finite fields; Euler integral transform (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2013
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