Byungheup Jun, Jungyun Lee
Published 2011-11-29Version 1
We obtain lower bound of caliber number of real quadratic field $K=\FQ(\sqrt{d})$ 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 $\zeta_K(1/2)$.
A lower bound for periods of matrices
Extreme values of class numbers of real quadratic fields
On the lower bound of the discrepancy of $(t,s)$ sequences: II
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