Geodesic
On the ordinarity of the maximal real subfield of cyclotomic function fields
Daisuke Shiomi 1
1 Department of Mathematical Sciences Faculty of Science Yamagata University Kojirakawa-machi 1-4-12 Yamagata 990-8560, Japan
Acta Arithmetica, Tome 165 (2014) no. 3, pp. 225-242 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $m$ such that the maximal real subfield of the $m$th cyclotomic function field is ordinary. In this paper, we extend this result to the general case.
DOI : 10.4064/aa165-3-2
Keywords: paper clarify ordinarity cyclotomic function fields previous work number theory author determined monic irreducible polynomials maximal real subfield mth cyclotomic function field ordinary paper extend result general

Daisuke Shiomi  1

1 Department of Mathematical Sciences Faculty of Science Yamagata University Kojirakawa-machi 1-4-12 Yamagata 990-8560, Japan 
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Daisuke Shiomi. On the ordinarity of the maximal real subfield
 of cyclotomic function fields. Acta Arithmetica, Tome 165 (2014) no. 3, pp. 225-242. doi: 10.4064/aa165-3-2

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