Character coordinates and annihilators of cyclotomic numbers.
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Kurt Girstmair (1987)
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S.A. Katre, A.R. Rajwade (1985)
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Claus Scheiderer (1991)
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Paulo Ribenboim (1992)
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Gervasio G. Bastos (1978)
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Danielle Gondard-Cozette (1990)
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Hwanyup Jung, Jaehyun Ahn (2003)
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Jochen Koenigsmann (1995)
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Ruth I. Berger (1992)
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Daisuke Shiomi (2014)
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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.
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...
Mikihito Hirabayashi, Ken-ichi Yoshino (1988)
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J.F. Voloch, Arnaldo Garcia (1987)
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Manfred Dugas, Rüdiger Göbel (1994)
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S. Berhanu, A. Meziani (1996)
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