p-primary parts of unit traces and the p-adic regulator
Prime factors of values of polynomials
We prove that for every quadratic binomial f(x) = rx² + s ∈ ℤ[x] there are pairs ⟨a,b⟩ ∈ ℕ² such that a ≠ b, f(a) and f(b) have the same prime factors and min{a,b} is arbitrarily large. We prove the same result for every monic quadratic trinomial over ℤ.
Primitive divisors of the expression An - Bn in algebraic number fields.
Purely cubic complex function fields with small units
Quadratic forms and biquadratic reciprocity.
Quadratic Relations for Generators of Units in the Modular Function Field.
Quantitative aspects of non-unique factorization: A general theory with applications to algebraic function fields.
Radicals and units in Ramanujan's work
Ramification in the Coates-Wiles tower.
Rang -adique du groupe des unités d’un corps de nombres
Rang p-adique d'unités et action de groupes.
Regulators and total positivity.
[Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].
Relative block semigroups and their arithmetical applications
We introduce relative block semigroups as an appropriate tool for the study of certain phenomena of non-unique factorizations in residue classes. Thereby the main interest lies in rings of integers of algebraic number fields, where certain asymptotic results are obtained.
Relative norms of units and 4-rank of class groups
Remarks on factorizations in algebraic number fields
Remarks on Unit indices of imaginary abelian number fields.
Remarks on unit indices of imaginary abelian number fields II.
Remarques sur la structure galoisienne des unités des corps de nombres
Scharen quadratischer Zahlkörper mit gleichgebauten Einheiten
Signature des unités cyclotomiques et parité du nombre de classes des extensions cycliques de de degré premier impair