摘要
本文在广义黎曼猜想成立的前提下,给出了一类类数大于1的实二次域K=Q(d^(1/2)).
In this paper we give a class of real quadratic fields with class number greater than one under the assumption of the Riemann hypothesis forζ_K,the zeta function of K,i.e., the generalized Riemann hypothesis(GRH).
出处
《数学进展》
CSCD
北大核心
2011年第1期29-31,共3页
Advances in Mathematics(China)
基金
Supported by NSFC(No.10801105
No.30871444)
the Key Project of Natural Science of Anhui Provincial Department of Education(No.KJ2009A44)
the Doctoral Special Fund of Hefei University of Technology(No.GDBJ2010-012)
关键词
二次数域
类数
判别式
ZETA函数
quadratic field
class number
discriminant
Zeta function