On the ordinarity of the maximal real subfield of cyclotomic function fields
Volume 165 / 2014
Acta Arithmetica 165 (2014), 225-242
MSC: Primary 11R60; Secondary 14H40.
DOI: 10.4064/aa165-3-2
Abstract
The aim of this paper is to clarify the ordinarity of cyclotomic function fields. In the previous work [J. Number Theory 133 (2013)], the author determined all monic irreducible polynomials such that the maximal real subfield of the mth cyclotomic function field is ordinary. In this paper, we extend this result to the general case.
