Let F = Q(d) be a real quadratic field and ε = x + y d the fundamental unit of F satisfying N F/Q (ε) = 1 .Some connections between the ramification properties for dyadic prime ideals in quadratic extension F( ε)/F and congruence properties of x ,y were established .As a corollary ,some congruence properties about x , y were given when d = p1 … pr or 2 p1 … p r with p1 ≡ … ≡ pr ≡ 1 mod 4 being distinct prime numbers .%设 F= Q( d)为实二次域,ε= x + y d为 F 的基本单位,并且ε满足 N F/Q (ε)=1.建立起二次扩张F(ε)/F的二进素理想的分歧性质和 x ,y 的同余性质之间的联系.并在 d = p1… pr 或2 p1… pr 的情形下,给出 x ,y 的一些同余性质,其中,p1,…,pr 为模4余1的不同素数.
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