On ray class annihilators of cyclotomic function fields
Sunghan Bae, Hwanyup Jung (2011)
Acta Arithmetica
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Sunghan Bae, Hwanyup Jung (2011)
Acta Arithmetica
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Bernhard Schmidt (2005)
Acta Arithmetica
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Hwanyup Jung, Jaehyun Ahn (2003)
Acta Arithmetica
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Ján Minác, Michel Spira (1990)
Mathematische Zeitschrift
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Sunghan Bae, Pyung-Lyun Kang (2002)
Acta Arithmetica
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Keiichi Komatsu (1991)
Manuscripta mathematica
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Eduardo C. Friedmann (1981/82)
Inventiones mathematicae
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Kuniaki Horie, Mitsuko Horie (1990)
Acta Arithmetica
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John C. Miller (2014)
Acta Arithmetica
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The determination of the class number of totally real fields of large discriminant is known to be a difficult problem. The Minkowski bound is too large to be useful, and the root discriminant of the field can be too large to be treated by Odlyzko's discriminant bounds. We describe a new technique for determining the class number of such fields, allowing us to attack the class number problem for a large class of number fields not treatable by previously known methods. We give an application...
Attila Pethő, Michael E. Pohst (2012)
Acta Arithmetica
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Radan Kučera (2016)
Acta Arithmetica
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The aim of this paper is a new construction of bases of the group of circular units and of the Stickelberger ideal for a family of abelian fields containing all cyclotomic fields, namely for any compositum of imaginary abelian fields, each ramified only at one prime. In contrast to the previous papers on this topic our approach consists in an explicit construction of Ennola relations. This gives an explicit description of the torsion parts of odd and even universal ordinary distributions,...
Christian Friesen (2001)
Acta Arithmetica
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Frank Gerth (1991)
Manuscripta mathematica
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Daisuke Shiomi (2014)
Acta Arithmetica
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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.
C.-G. Schmidt (1982)
Inventiones mathematicae
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