Binomial Coefficients and Quadratic Fields
نویسندگان
چکیده
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.
منابع مشابه
Binomial Coefficients and Quadratic Fields 3
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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