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Finite Fields and Their Applications
Article . 2017 . Peer-reviewed
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Article . 2017
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Article . 2016
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An Appell series over finite fields

Authors: Bing He; Long Li; Ruiming Zhang;

An Appell series over finite fields

Abstract

In this paper we present a finite field analogue for one of the Appell series. We shall derive its transformations, reduction formulas as well as generating functions.

16 pages

Related Organizations
Keywords

Other character sums and Gauss sums, Primary 33C65, 11T24, Secondary 11L05, 33C20, Appell, Horn and Lauricella functions, Generalized hypergeometric series, \({}_pF_q\), generating function, Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT), transformation formula, Appell series over finite fields, reduction formula

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    15
    popularity
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    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
15
Top 10%
Top 10%
Average
Green
bronze