Distribution of values of Gaussian hypergeometric functions
نویسندگان
چکیده
منابع مشابه
Values of Gaussian Hypergeometric Series
Let p be prime and let GF (p) be the finite field with p elements. In this note we investigate the arithmetic properties of the Gaussian hypergeometric functions 2F1(x) =2 F1 „ φ, φ | x « and 3F2(x) =3 F2 „ φ, φ, φ , | x « where φ and respectively are the quadratic and trivial characters of GF (p). For all but finitely many rational numbers x = λ, there exist two elliptic curves 2E1(λ) and 3E2(...
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ژورنال
عنوان ژورنال: Pure and Applied Mathematics Quarterly
سال: 2023
ISSN: ['1558-8599', '1558-8602']
DOI: https://doi.org/10.4310/pamq.2023.v19.n1.a14