An analogue of Kummer's relation between the ideal class number and the unit index of cyclotomic fields

Su Hu, Min-Soo Kim, Yan Li

In this paper, we obtain a formula for the special value of Euler-Dirichlet $L$-function $L_E(s,\chi )$ at $s=1$. This leads to another class number formula of $\mathbb{Q}({\mu }_m{)}^{+}$,…