Canonical and filling subgroups of formal groups.
Completeness of the absolute Galois group of the rational number field.
Constructing class fields over local fields
Let be a -adic field. We give an explicit characterization of the abelian extensions of of degree by relating the coefficients of the generating polynomials of extensions of degree to the exponents of generators of the norm group . This is applied in an algorithm for the construction of class fields of degree , which yields an algorithm for the computation of class fields in general.
Counting periodic points of -adic power series
Courbes définies sur les corps de séries formelles et loi de réciprocité (Acta Arithmetica 42 (1982), p. 101-106) (Errata)
Courbes définies sur les corps de séries formelles et loi de réciprocité