On an equation in cyclotomic numbers
Roberto Dvornicich (2001)
Acta Arithmetica
Similarity:
Displaying similar documents to “On the magnitudes of some small cyclotomic integers”
On an equation in cyclotomic numbers
Corrigendum to "Norm residue symbol and cyclotomic units" (Acta Arith. 73 (1995), 147-188)
Charles Helou (2001)
Acta Arithmetica
Similarity:
On the relative class number of cyclotomic function fields
Hwanyup Jung, Jaehyun Ahn (2003)
Acta Arithmetica
Similarity:
Coefficients of a relative of cyclotomic polynomials
Ricky Ini Liu (2014)
Acta Arithmetica
Similarity:
Character coordinates and annihilators of cyclotomic numbers.
Kurt Girstmair (1987)
Manuscripta mathematica
Similarity:
A congruence for the second factor of the class number of a cyclotomic field (Corrigendum)
L. Carlitz (1970)
Acta Arithmetica
Similarity:
On the ordinarity of the maximal real subfield of cyclotomic function fields
Daisuke Shiomi (2014)
Acta Arithmetica
Similarity:
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.
Unique Determination of Cyclotomic Numbers of Order Five.
S.A. Katre, A.R. Rajwade (1985)
Manuscripta mathematica
Similarity:
On the Hilbert symbol in cyclotomic fields
Charles Helou (2002)
Acta Arithmetica
Similarity:
On ray class annihilators of cyclotomic function fields
Sunghan Bae, Hwanyup Jung (2011)
Acta Arithmetica
Similarity:
Some remarks on conjectures about cyclotomic fields and -groups of
Masato Kurihara (1992)
Compositio Mathematica
Similarity:
Class numbers of cyclotomic function fields
Sunghan Bae, Pyung-Lyun Kang (2002)
Acta Arithmetica
Similarity:
On the class numbers of real cyclotomic fields of conductor pq
Eleni Agathocleous (2014)
Acta Arithmetica
Similarity:
The class numbers h⁺ of the real cyclotomic fields are very hard to compute. Methods based on discriminant bounds become useless as the conductor of the field grows, and methods employing Leopoldt's decomposition of the class number become hard to use when the field extension is not cyclic of prime power. This is why other methods have been developed, which approach the problem from different angles. In this paper we extend one of these methods that was designed for real cyclotomic fields...
On the class numbers of cyclotomic fields.
Kuniaki Horie (1989)
Manuscripta mathematica
Similarity:
On some new estimates for h¯(ℚ(ζₚ))
Stanislav Jakubec (2009)
Acta Arithmetica
Similarity:
Mahler measure of the Horie unit and Weber's class number problem in the cyclotomic ℤ₃-extension of ℚ
Takayuki Morisawa (2012)
Acta Arithmetica
Similarity:
The circular units and the Stickelberger ideal of a cyclotomic field revisited
Radan Kučera (2016)
Acta Arithmetica
Similarity:
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,...