A Lower Bound for the Class Number of Certain Cubic Number Fields

DOI10.2307/2008004zbMath0602.12001OpenAlexW2154879455MaRDI QIDQ3737522

Günter Lettl

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2008004

zbMATH Keywords

class numberlower boundmaximal real subfield of cyclotomic fieldcyclic cubic field

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items

Note on the class-number of the maximal real subfield of a cyclotomic field, Families of cyclic cubic fields, A family of cubic fields and zeros of 3-adic \(L\)-functions, Diophantine problems related to cyclic cubic and quartic fields, A family of cyclic cubic polynomials whose roots are systems of fundamental units., Trace and norm of indecomposable integers in cubic orders, Unnamed Item, The Lehmer Project, The exponent three class group problem for some real cyclic cubic number fields, Quadratic extensions of the rational field, the Gauss field or the field of cubic roots of unity of caliber 1, Connection Between Gaussian Periods and Cyclic Units