On the product of the conjugates outside the unit circle of an algebraic number
On the projective class group of cyclic groups of prime power order.
On the Pythagoras number of orders in totally real number fields.
On the quadratic character of some quadratic surds.
On the quadriquadric Curve in connexion with the theory of Elliptic Functions
On the quantitative unit sum number problem-an application of the subspace theorem
On the quartic character of quadratic units.
On the Rational Points of Abelian Varieties over Zp Extensions of Number Fields.
On the real cohomology of arithmetic groups and the rank conjecture for number fields
On the Real Points of an Arithmetic Quotient of a Bounded Symmetrie Domain.
On the reducibility type of trinomials
On the regularity and rationality of certain elements of finite order in Lie groups.
On the relation between two conjectures on polynomials
On the relation between units and Jacobi sums in Prime cyclotomic Fields.
On the relative class number of cyclotomic function fields
On the representation of units by cyclotomic polynomials
On the Resolution of Cusp Singularities and the Shintani Decomposition in Totally Real Cubic Number Fields.
On the resolution of index form equations in dihedral quartic number fields.
On the Riemann-Roch theorem for orders in the ring of valuation vectors of a function field.
On the ring of -integers of a cyclic -extension over a number field
Let be a prime number. A finite Galois extension of a number field with group has a normal -integral basis (-NIB for short) when is free of rank one over the group ring . Here, is the ring of -integers of . Let be a power of and a cyclic extension of degree . When , we give a necessary and sufficient condition for to have a -NIB (Theorem 3). When and , we show that has a -NIB if and only if has a -NIB (Theorem 1). When divides , we show that this descent property...