"Almost every" algebraic number-field has a large class-number
V. Sprindžuk (1974)
Acta Arithmetica
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V. Sprindžuk (1974)
Acta Arithmetica
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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...
Schehrazad Selmane (2002)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Francisca Cánovas Orvay (1991)
Extracta Mathematicae
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Jan-Hendrik Evertse (1986)
Acta Arithmetica
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Attila Pethő, Michael E. Pohst (2012)
Acta Arithmetica
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Kazimierz Szymiczek (2002)
Acta Mathematica et Informatica Universitatis Ostraviensis
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