An extension of a result of C. J. Smyth to polynomials in several variables
An extension of Iwasawa's theorem on finitely generated modules over power series rings.
An extension of the theorem of Bauer and polynomials of certain special types
An idelic approach to the wild kernel.
An improvement of Lenstra's criterion for Euclidean number fields: The totally real case
An improvement of the quantitative subspace theorem
An inequality for the class number.
An infinite family of pairs of quadratic fields ℚ(√D) and ℚ(√mD) whose class numbers are both divisible by 3
An infinite family of totally real number fields
An integral basis of the algebraic number field Q(...).
An interval result for the number field v(x,y) function.
An investigation of bounds for the regulator of quadratic fields.
An irreducibility criterion for polynomials in several variables
An Upper Bound for the ...-Invariant of Imaginary Abelian Fields.
An upper bound for the minimum genus of a curve without points of small degree
We prove that for any prime p there is a constant Cₚ > 0 such that for any n > 0 and for any p-power q there is a smooth, projective, absolutely irreducible curve over of genus g ≤ Cₚqⁿ without points of degree smaller than n.
Analogues étales de la -tour des corps de classes
Nous construisons un analogue «tordu» de la -tour de corps de classes d’un corps de nombres ( un nombre premier) et étudions ses liens avec la théorie d’Iwasawa. Le résultat principal donne un critère du type Golod et Shafarevich pour que la tour «tordue» soit infinie.
Analogues supérieurs du noyau sauvage
Analytic and arithmetic theory of semigroups with divisor theory
Analytic Class Number Formulas in Function Fields.
Analytic continuation of partial zeta functions of arithmetic orders.