Normal Integral Bases and Embedding Problems.
Normal integral bases and ray class groups
Normal integral bases and tameness conditions for Kummer extensions
We present a detailed analysis of some properties of a general tamely ramified Kummer extension of number fields L/K. Our main achievement is a criterion for the existence of a normal integral basis for a general Kummer extension, which generalizes the existing results. Our approach also allows us to explicitly describe the Steinitz class of L/K and we get an easy criterion for this class to be trivial. In the second part of the paper we restrict to the particular case of tame Kummer extensions...
Normal integral bases and the Galois groups of Galois extensions of number fields.
Normal integral bases and the Spiegelungssatz of Scholz
Normal integral bases for Emma Lehmer’s parametric family of cyclic quintics
Explicit normal integral bases are given for some cyclic quintic fields defined by Emma Lehmer’s parametric family of quintics.
Normal integral bases for infinite abelian extensions
Normal order for a function associated with factorization into irreducibles
Normal orders for certain functions associated with factorizations in number fields
Norme relative de l'unité fondamentale et 2-rang du groupe des classes d'idéaux de certains corps biquadratiques
Norm-Euclidean Galois fields and the Generalized Riemann Hypothesis
Assuming the Generalized Riemann Hypothesis (GRH), we show that the norm-Euclidean Galois cubic fields are exactly those with discriminantA large part of the proof is in establishing the following more general result: Let be a Galois number field of odd prime degree and conductor . Assume the GRH for . Ifthen is not norm-Euclidean.
Norms from certain extensions of
Norms from Quadratic Fields and Their Relation to Noncommuting 2 x 2 Matrices III. A Link between the 4-rank of the Ideal Class Groups in...(..m) and in ...(...-m).
Norms in finite Galois extensions of the rationals.
Norms in Quadratic Fields and Their Relations to Non Commuting 2x2 Matrices I.
Northcott's Theorem on Heights I. A General Estimate.
Northcott's theorem on heights II. The quadratic case
Note à propos d'une conjecture de H.J. Godwin sur les unités des corps cubiques
On démontre, à partir de résultats de H.J. Godwin, H. Brunotte et F. Halter-Koch, le théorème suivant : soit un corps cubique cyclique de conducteur dont le groupe de Galois est engendré par ; soit le groupe des unités de norme 1.Soit , , telle que soit minimum. Alors est un -générateur de .
Note on a certain sums of integer parts
Note on a congruence for p-adic L-functions.