Abstract
We define a function \(F_4^{*}\) as a finite field analogue of the classical Appell series \(F_4\) using Gauss sums. We establish identities for \(F_4^{*}\) analogous to those satisfied by the classical Appell series \(F_4\).
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The authors are grateful to the anonymous referee for helpful comments and suggestions. The second author is partially supported by a research grant under the MATRICS scheme of SERB, Department of Science and Technology, Government of India.
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Tripathi, M., Barman, R. A finite field analogue of the Appell series \(F_4\). Res. number theory 4, 35 (2018). https://doi.org/10.1007/s40993-018-0128-8
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DOI: https://doi.org/10.1007/s40993-018-0128-8