Mathematics 2013, 1(1), 3-8; doi:10.3390/math1010003
Article

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

Michael Griffin* email and Larry Rolen* email
Department of Math & CS, Emory University, 400 Dowman Dr., W401 Atlanta, GA, 30322, USA
* Authors to whom correspondence should be addressed.
Received: 6 January 2013; in revised form: 15 January 2013 / Accepted: 22 January 2013 / Published: 5 February 2013
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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

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MDPI and ACS Style

Griffin, M.; Rolen, L. On Matrices Arising in the Finite Field Analogue of Euler’s Integral Transform. Mathematics 2013, 1, 3-8.

AMA Style

Griffin M, Rolen L. On Matrices Arising in the Finite Field Analogue of Euler’s Integral Transform. Mathematics. 2013; 1(1):3-8.

Chicago/Turabian Style

Griffin, Michael; Rolen, Larry. 2013. "On Matrices Arising in the Finite Field Analogue of Euler’s Integral Transform." Mathematics 1, no. 1: 3-8.

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