In this paper, we will give determinant formulas of zeta functions for real abelian extensions over a rational functions field with one variable. By a class number formula, our formula can be regard as a generalization of determinant formulas of class numbers.
"Determinant formulas for zeta functions for real abelian function fields." Proc. Japan Acad. Ser. A Math. Sci. 87 (10) 183 - 185, December 2011. https://doi.org/10.3792/pjaa.87.183