On the polynomials \(x^d+ax^i+b\) and \(x^d+ax^{d-i}+b\) over \(\mathbb F_q\) and Gaussian hypergeometric series

DOI10.1007/s11139-013-9549-0zbMath1372.11112OpenAlexW2085516154MaRDI QIDQ486601

Neelam Saikia, Rupam Barman

Publication date: 16 January 2015

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-013-9549-0

zbMATH Keywords

Gaussian hypergeometric seriespolynomial equationcharacters of finite fields

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Exponential sums (11T23) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (5)

Summation identities and transformations for hypergeometric series ⋮ Unnamed Item ⋮ Hyperelliptic curves and values of Gaussian hypergeometric series ⋮ Some mixed character sum identities of Katz. II ⋮ \(p\)-adic gamma function and the polynomials \(x^d + ax + b\) and \(x^d + ax^{d-1} + b\) over \(\mathbb{F}_q\)

Cites Work

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• CERTAIN VALUES OF GAUSSIAN HYPERGEOMETRIC SERIES AND A FAMILY OF ALGEBRAIC CURVES
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