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

Mathematics

Michael Griffin¹ 

[1] Department of Math & CS, Emory University, 400 Dowman Dr., W401 Atlanta, GA, 30322, USA

关键词: hypergeometric series;    finite fields;    Euler integral transform;   

DOI  :  10.3390/math1010003

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.