Caliber number of real quadratic fields

JOURNAL OF NUMBER THEORY

卷:130

Article

Jun, Byungheup¹  Lee, Jungyun¹ 

[1] Korea Inst Adv Study, Seoul, South Korea

关键词: Caliber number;    Real quadratic field;   

DOI  :  10.1016/j.jnt.2010.05.010

来源: Elsevier

【 摘 要 】

We obtain lower bound of caliber number of real quadratic field K = Q(root d) using splitting primes in K. We find all real quadratic fields of caliber number 1 and find all real quadratic fields of caliber number 2 if d is not 5 modulo 8. In both cases, we don't rely on the assumption on zeta k (1/2). (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free