Corrigendum: A Table of Real Cubic Fields
نویسندگان
چکیده
منابع مشابه
On the Computation of a Table of Complex Cubic Fields with Discriminant D > -106
A method for finding all the nonisomorphic complex cubic fields with discriminant D > -10 is described. Three different methods were used to find the class number of each of these fields. The speed of these techniques is discussed and several tables illustrating the computational results are presented. These include tables of the distribution of the fields and the class numbers and the class gr...
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The authors have constructed a table of the 592923 nonconjugate totally real cubic number fields of discriminant D < 107, thereby extending the existing table of fields with D < 5 x 105 constructed by Ennola and Turunen [4]. Each field is given by its discriminant and the coefficients of a generating polynomial. The method used is an improved version of the method developed in [8]. The article ...
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The class number of the cubic subfield of the pth cyclotomic field is calculated for the prime p = 11290018777. This is used to construct an example where the class number of the pth real cyclotomic field is larger than p. In a recent paper [1], it is shown that if the Generalized Riemann Hypothesis holds, then hp > p for the prime p = 11290018777. Here hp is the class number of Q(cos(27r/p)), ...
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R0<b162R0 gcd(b1, N )1/2 R 0 (HP) . The second line is false and in fact one has M1 = 1 in Proposition 3. The author is very grateful to Professor Hongze Li for drawing his attention to this flaw. The error can be fixed by introducing an average over b1 into the statement of Proposition 3. This allows us to recover the main theorem in [1], and also [2, Lemma 11], via the following modification....
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 1975
ISSN: 0024-6107
DOI: 10.1112/jlms/s2-9.4.624-s