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math.NT2011
Caliber numbers of real quadratic fields
Byungheup Jun, Jungyun Lee
We obtain lower bound of caliber number of real quadratic field $K=\FQ(\sqrt{d})$ using splitting primes in . We find all real quadratic fields of caliber number 1 and find all…
math.NT2011
Polynomial behavior of special values of partial zeta function of real quadratic fields at s=0
Byugheup Jun, Jungyun Lee
We compute the special values of partial zeta function at for family of real quadratic fields and ray class ideals $\fb_n$ such that $\fb_n^{-1} = [1,δ(n)]$ where the c…
math.NT2011★ 4 cited
The behavior of Hecke's L-function of real quadratic fields at s=0
Byungheup Jun, Jungyun Lee
For a family of real quadratic fields $\{K_n=\FQ(\sqrt{f(n)})\}_{n\in \FN}$, a Dirichlet character modulo and prescribed ideals $\{\fb_n\subset K_n\}$, we investigate the l…