Certain character sums, Gaussian hypergeometric series, and their connections to algebraic curves
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Publication:2662055
DOI10.1016/j.ffa.2021.101832zbMath1468.11237OpenAlexW3131965663MaRDI QIDQ2662055
Publication date: 8 April 2021
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ffa.2021.101832
Gamma, beta and polygamma functions (33B15) Exponential sums (11T23) Generalized hypergeometric series, ({}_pF_q) (33C20)
Cites Work
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- Evaluations of hypergeometric functions over finite fields
- Elliptic curves and special values of Gaussian hypergeometric series
- A \(p\)-adic analogue of a formula of Ramanujan
- A character sum evaluation and Gaussian hypergeometric series
- Hypergeometric series over finite fields and Apéry numbers
- Hypergeometric functions over finite fields and representations of \(\mathrm{SL}(2,q)\)
- Beukers-like supercongruences for generalized Apéry numbers
- Clausen's theorem and hypergeometric functions over finite fields
- Hypergeometric functions over 𝔽_{𝕢} and traces of Frobenius for elliptic curves
- ON THE POLYNOMIAL xd + ax + b OVER 𝔽q AND GAUSSIAN HYPERGEOMETRIC SERIES
- CERTAIN VALUES OF GAUSSIAN HYPERGEOMETRIC SERIES AND A FAMILY OF ALGEBRAIC CURVES
- Gaussian hypergeometric evaluations of traces of Frobenius for elliptic curves
- Hypergeometric functions over ${\mathbb {F}_p}$ and relations to elliptic curves and modular forms
- An extension of the Apéry number supercongruence
- A $p$-adic supercongruence conjecture of van Hamme
- Hypergeometric Functions Over Finite Fields
- Values of Gaussian hypergeometric series
- Values of Gaussian hypergeometric series and their connections to algebraic curves
- A Gaussian hypergeometric series evaluation and Apéry number congruences
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