Certain product formulas and values of Gaussian hypergeometric series
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: Research in Number Theory
سال: 2020
ISSN: 2522-0160,2363-9555
DOI: 10.1007/s40993-020-00203-3