Binomial coefficients and quadratic fields
نویسندگان
چکیده
منابع مشابه
Binomial Coefficients and Quadratic Fields
Let E be a real quadratic field with discriminant d 6≡ 0 (mod p) where p is an odd prime. For ρ = ±1 we determine ∏ 0<c<d, ( d c )=ρ ( p−1 bpc/dc ) modulo p2 in terms of a Lucas sequence, the fundamental unit and the class number of E.
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Let E be a real quadratic field with discriminant d ≡ 0 (mod p) where p is an odd prime. In terms of a Lucas quotient, the fundamental unit and the class number of E, we determine 0<c<d, (d c)=ρ p−1 ⌊pc/d⌋ modulo p 2 where ρ = ±1.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2006
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-06-08262-1