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

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Author(s): Michael Griffin | Larry Rolen

Journal: Mathematics
ISSN 2227-7390

Volume: 1;
Issue: 1;
Start page: 3;
Date: 2013;
Original page

Keywords: hypergeometric series | finite fields | Euler integral transform

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.
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