On the ordinarity of the maximal real subfield of cyclotomic function fields
Daisuke Shiomi
Acta Arithmetica, Tome 166 (2014), p. 225-242 / Harvested from The Polish Digital Mathematics Library
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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 mth cyclotomic function field is ordinary. In this paper, we extend this result to the general case.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:278881 
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     author = {Daisuke Shiomi},
     title = {On the ordinarity of the maximal real subfield of cyclotomic function fields},
     journal = {Acta Arithmetica},
     volume = {166},
     year = {2014},
     pages = {225-242},
     zbl = {1318.11152},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa165-3-2}
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Daisuke Shiomi. On the ordinarity of the maximal real subfield of cyclotomic function fields. Acta Arithmetica, Tome 166 (2014) pp. 225-242. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa165-3-2/