Some remarks on the local class field theory of Serre and Hazewinkel
We give a new approach for the local class field theory of Serre and Hazewinkel. We also discuss two-dimensional local class field theory in this framework.
Some remarks on the S-unit equation in function fields
Some results concerning certain periodic continued fractions
Some results concerning the nearest integer continued fraction expansion of ...D.
Some results from the tables of irregularity index of a prime
Some results on p-extensions of local and global fields
Some reults on fundamental units in cubic fields.
Some sporadic groups as Galois groups
Some sporadic groups as Galois groups II
Some unramified abelian extensions of algebraic number fields.
Some unsolved problems
Sommes de carrés
Sommes de carrés, fonctions L et formes modulaires.
Sommes de Gauss et structure galoisienne des anneaux d'entiers
Sommes de puissances m-ièmes dans les anneaux β-adiques et les anneaux d'entiers algébriques
Spacing of zeros of Hecke L-functions and the class number problem
Special invariant subspaces of a vector space over
Special Values of Artin L-Series.
Specializations of one-parameter families of polynomials
Let be a number field, and suppose is irreducible over . Using algebraic geometry and group theory, we describe conditions under which the -exceptional set of , i.e. the set of for which the specialized polynomial is -reducible, is finite. We give three applications of the methods we develop. First, we show that for any fixed , all but finitely many -specializations of the degree generalized Laguerre polynomial are -irreducible and have Galois group . Second, we study specializations...
Splitting fields and group characters.