On matrices arising in the finite field analogue of Euler's integral transform (Q401760)
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scientific article; zbMATH DE number 6334772
| Language | Label | Description | Also known as |
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| English | On matrices arising in the finite field analogue of Euler's integral transform |
scientific article; zbMATH DE number 6334772 |
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On matrices arising in the finite field analogue of Euler's integral transform (English)
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27 August 2014
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Summary: \textit{J. Greene} [Character sum analogues for hypergeometric and generalized hypergeometric functions over finite fields. Ph. D. thesis, Ann Arbor (1984), p. 133] 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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hypergeometric series
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finite fields
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Euler integral transform
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