Abstract
Many product formulas are known classically for generalized hypergeometric functions over the complex numbers. In this paper, we establish some analogous formulas for generalized hypergeometric functions over finite fields.
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Acknowledgements
This paper is largely based on the second author’s master’s thesis [11]. We would like to thank Ryojun Ito, Akio Nakagawa and Yusuke Nemoto for helpful discussions. The first author is supported by JSPS Grant-in-Aid for Scientific Research: 18K03234.
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Otsubo, N., Senoue, T. Product formulas for hypergeometric functions over finite fields. Res. number theory 8, 80 (2022). https://doi.org/10.1007/s40993-022-00348-3
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DOI: https://doi.org/10.1007/s40993-022-00348-3