On the imaginary bicyclic biquadratic fields with class-number 2

Author:

Buell D. A.,Williams H. C.,Williams K. S.

Abstract

Assuming that the list of imaginary quadratic number fields of class-number 4 is complete, a determination is made of all imaginary bicyclic biquadratic number fields of class-number 2.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference13 articles.

1. A rational genus, class number divisibility, and unit theory for pure cubic fields;Barrucand, Pierre;J. Number Theory,1970

2. The imaginary bicyclic biquadratic fields with class-number 1;Brown, Ezra;J. Reine Angew. Math.,1974

3. Class groups of quadratic fields;Buell, Duncan A.;Math. Comp.,1976

4. Small class numbers and extreme values of 𝐿-functions of quadratic fields;Buell, Duncan A.;Math. Comp.,1977

5. M. N. GRAS & G. GRAS, Nombre de Classes des Corps Quadratiques Réels 𝑄(√𝑚), 𝑚<10000, Institut de Mathématiques Pures, Université Scientifique et Médicale de Grenoble, 1971/72.

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