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- W4298401879 abstract "We study the character sums [phi_{(m,n)}(a,b)=sum_{xinmathbb{F}_q}phileft(x(x^{m}+a)(x^{n}+b)right),textrm{ and, } psi_{(m,n)}(a,b)=sum_{xinmathbb{F}_q}phileft((x^{m}+a)(x^{n}+b)right)] where $phi$ is the quadratic character defined over $mathbb{F}_q$. These sums are expressed in terms of Gaussian hypergeometric series over $mathbb{F}_q$. Then we use these expressions to exhibit the number of $mathbb{F}_q$-rational points on families of hyperelliptic curves and their Jacobian varieties." @default.
- W4298401879 created "2022-10-02" @default.
- W4298401879 creator A5052438341 @default.
- W4298401879 date "2015-07-03" @default.
- W4298401879 modified "2023-09-26" @default.
- W4298401879 title "Character Sums, Gaussian Hypergeometric Series, and a Family of Hyperelliptic Curves" @default.
- W4298401879 doi "https://doi.org/10.48550/arxiv.1507.00914" @default.
- W4298401879 hasPublicationYear "2015" @default.
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