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An Appell series over finite fields

Published:2017-11 Issue: Volume:48 Page:289-305
ISSN:1071-5797
Container-title:Finite Fields and Their Applications
language:en
Short-container-title:Finite Fields and Their Applications

Author:

He Bing^ORCID,Li Long,Zhang Ruiming

Funder

Natural Science Basic Research Plan in Shaanxi Province of China

Initial Foundation for Scientific Research of Northwest A&F University

Fundamental Research Funds for the Central Universities

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

Applied Mathematics,General Engineering,Algebra and Number Theory,Theoretical Computer Science

Reference11 articles.

1. On new unified integrals involving Appell series;Agarwal;Adv. Mech. Engrg. Appl.,2012

2. Generalized Hypergeometric Series;Bailey,1935

3. Gauss and Jacobi Sums;Berndt,1998

4. Certain generating functions involving Appell series;Choi;Far East J. Math. Sci.,2014

5. Evaluations of hypergeometric functions over finite fields;Evans;Hiroshima Math. J.,2009

Cited by 12 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Sum representations of Appell–Lauricella functions over finite fields using confluent hypergeometric functions and their applications;Research in Number Theory;2024-08-28

2. Appell-Lauricella hypergeometric functions over finite fields and algebraic varieties;Hokkaido Mathematical Journal;2024-06-01

3. A family of algebraic curves and Appell series over finite fields;The Ramanujan Journal;2024-04-22

4. Transformations for Appell series over finite fields and traces of Frobenius for elliptic curves;Finite Fields and Their Applications;2023-12

5. Appell series over finite fields and modular forms;Finite Fields and Their Applications;2023-09

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