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CLASS NUMBERS OF REAL CYCLOTOMIC FIELDS OF PRIME CONDUCTOR
, 2002
"... The class numbers h + l of the real cyclotomic fields Q(ζl + ζ−1 l) are notoriously hard to compute. Indeed, the number h + l is not known for a single prime l ≥ 71. In this paper we present a table of the orders of certain subgroups of the class groups of the real cyclotomic fields Q(ζl + ζ −1 l) f ..."
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The class numbers h + l of the real cyclotomic fields Q(ζl + ζ−1 l) are notoriously hard to compute. Indeed, the number h + l is not known for a single prime l ≥ 71. In this paper we present a table of the orders of certain subgroups of the class groups of the real cyclotomic fields Q(ζl + ζ −1 l
CLASS NUMBERS OF REAL CYCLOTOMIC FIELDS OF PRIME CONDUCTOR
, 2002
"... Abstract. The class numbers h + l of the real cyclotomic fields Q(ζ l + ζ−1 l) are notoriously hard to compute. Indeed, the number h + l is not known for a single prime l ≥ 71. In this paper we present a table of the orders of certain subgroups of the class groups of the real cyclotomic fields Q(ζ l ..."
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Abstract. The class numbers h + l of the real cyclotomic fields Q(ζ l + ζ−1 l) are notoriously hard to compute. Indeed, the number h + l is not known for a single prime l ≥ 71. In this paper we present a table of the orders of certain subgroups of the class groups of the real cyclotomic fields Q
Article electronically published on February 15, 2002 CLASS NUMBERS OF REAL CYCLOTOMIC FIELDS OF PRIME CONDUCTOR
"... Abstract. The class numbers h + l of the real cyclotomic fields Q(ζ l + ζ−1 l) are notoriously hard to compute. Indeed, the number h + l is not known for a single prime l ≥ 71. In this paper we present a table of the orders of certain subgroups of the class groups of the real cyclotomic fields Q(ζ l ..."
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Abstract. The class numbers h + l of the real cyclotomic fields Q(ζ l + ζ−1 l) are notoriously hard to compute. Indeed, the number h + l is not known for a single prime l ≥ 71. In this paper we present a table of the orders of certain subgroups of the class groups of the real cyclotomic fields Q
Let Cl +
"... Class numbers of real cyclotomic fields of prime conductor. (English summary) ..."
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Class numbers of real cyclotomic fields of prime conductor. (English summary)
On The Class Groups of Real Cyclotomic Fields of Prime Conductor
, 2008
"... Let p>2 be a prime. We fix p throughout this paper. Let Q be the rational numbers. For an algebraic number field k of finite degree, C(k) and h(k) denote the ideal class group and the class number of k, respectively. Let C(k) be the Sylow subgroup of C(k) for a prime . ..."
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Let p>2 be a prime. We fix p throughout this paper. Let Q be the rational numbers. For an algebraic number field k of finite degree, C(k) and h(k) denote the ideal class group and the class number of k, respectively. Let C(k) be the Sylow subgroup of C(k) for a prime .
THE PARITY OF THE CLASS NUMBER OF THE CYCLOTOMIC FIELDS OF PRIME CONDUCTOR
"... Abstract. Using a duality result for cyclotomic units proved by G.Gras, we derive a relation between the vanishing of some χcomponents of the ideal class groups of abelian fields of prime conductor (Theorem 1). As a consequence, we obtain a criterion for the parity of the class number of any abelia ..."
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Abstract. Using a duality result for cyclotomic units proved by G.Gras, we derive a relation between the vanishing of some χcomponents of the ideal class groups of abelian fields of prime conductor (Theorem 1). As a consequence, we obtain a criterion for the parity of the class number of any
On Bayesian analysis of mixtures with an unknown number of components
 INSTITUTE OF INTERNATIONAL ECONOMICS PROJECT ON INTERNATIONAL COMPETITION POLICY,&QUOT; COM/DAFFE/CLP/TD(94)42
, 1997
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ON DIVISIBILITY OF THE CLASS NUMBER h + OF THE REAL CYCLOTOMIC FIELDS OF PRIME DEGREE l
"... Abstract. In this paper, criteria of divisibility of the class number h + of the real cyclotomic field Q(ζp + ζ−1 p) of a prime conductor p and of a prime degree l by primes q the order modulo l of which is l−1, are given. A corollary of 2 these criteria is the possibility to make a computational pr ..."
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Abstract. In this paper, criteria of divisibility of the class number h + of the real cyclotomic field Q(ζp + ζ−1 p) of a prime conductor p and of a prime degree l by primes q the order modulo l of which is l−1, are given. A corollary of 2 these criteria is the possibility to make a computational
Results 1  10
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198,615