ON IDEAL CLASS GROUPS AND UNITS IN TERMS OF THE QUADRATIC FORM x2 + 32y2

For quadratic number fields F = Q(√2pl … pt-1 ) with primes pj ≡ 1 mod 8, the authors study the class number and the norm of the fundamental unit of F. The results generalize nicely what has been familiar for the fields Q(√2p) with a prime p ≡ 1 mod 8, including density statements. And the results are stated in terms of the quadratic form x2 + 32y2 and illustrated in terms of graphs.

作 者： JURGEN HURRELBRINK Yue Qin   作者單位： JURGEN HURRELBRINK(Department of Mathematics,Louisiana State University,Baton Rouge,LA 70803-4918,USA)

Yue Qin(Department of Mathematics,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China) 

刊 名： 數學年刊B輯（英文版）  ISTIC SCI 英文刊名： CHINESE ANNALS OF MATHEMATICS,SERIES B  年，卷(期)： 2005 26(2)  分類號：   關鍵詞： Class group   Redei Matrix   Fundamental unit  

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