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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Michael Griffin & Larry Rolen, 2013. "On Matrices Arising in the Finite Field Analogue of Euler’s Integral Transform," Mathematics, MDPI, vol. 1(1), pages 1-6, February.
    • Handle: RePEc:gam:jmathe:v:1:y:2013:i:1:p:3-8:d:23366
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