Acta mathematica scientia, Series B >
ON THE EXCEPTIONAL FIELDS FOR A CLASS OF REAL QUADRATIC FIELDS
Received date: 2008-04-13
Revised date: 2010-02-05
Online published: 2011-05-20
Supported by
Project supported by the NSFC (10801105; 30871444), the Key Project of Natural Science of Anhui Provincial Department of Education (KJ2009A44), the Doctoral Special Fund of Hefei University of Technology (GDBJ2010-012) and the Key Project of Science and Technology of Anhui Province (08010302070).
In this paper, we give a lower bound exp(2.2×108) for those discriminants of real quadratic fields Q(√d) with d = N2 − 4 and h(d) = 1.
Key words： quadratic field; class number; discriminant; Zeta-function; lower bound
LIU Li , LIU Hong-Wen . ON THE EXCEPTIONAL FIELDS FOR A CLASS OF REAL QUADRATIC FIELDS[J]. Acta mathematica scientia, Series B, 2011 , 31(3) : 1179 -1188 . DOI: 10.1016/S0252-9602(11)60308-1
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