3 papers
math.NT2018
The divisibility of zeta functions of cyclotomic function fields
Daisuke Shiomi
In this paper, we generalize Bernoulli-Goss polynomials, and give a criterion on the divisibility of zeta functions of cyclotomic function fields. As an application of our criterio…
math.NT2012
An ordinary cyclotomic function field
Daisuke Shiomi
In this paper, we investigate the -rank of Jacobian of cyclotomic function field . Our goal in this paper is to give the necessary and sufficient condition such that $K…
math.NT2009
A determinant formula for relative congruence zeta functions for cyclotomic function fields
Daisuke Shiomi
Rosen M. gave a determinant formula for relative class numbers for the P-th cyclotomic function fields in the case of the monic irreducible polynomial P, which is regarded as an an…