On the algebraic compactness of some complete modules
On the arithmetic of two constructions of Salem numbers.
On the Beckmann-Black problem
On the bialgebra of functional graphs and differential algebras.
On the Brauer monoid of .
On the calculation of some differential galois groups.
On the class group of affinoid spaces
On the class numbers of certain Hilbert class fields.
On the closed subfields of [...] Q ¯ p
Let p be a prime number, and let [...] Q¯ p be the completion of Q with respect to the pseudovaluation w which extends the p-adic valuation vp. In this paper our goal is to give a characterization of closed subfields of [...] Q¯ p , the completion of Q with respect w, i.e. the spectral extension of the p-adic valuation vp on Q.
On the coefficients of the -th transformation polynomial for j(ω)
On the Cohomological Characterization of Real Free Pro-2-Group.
On the cohomology of biquadratic extensions.
On the Completion of a Valuation Ring.
On the compositum of all degree extensions of a number field
We study the compositum of all degree extensions of a number field in a fixed algebraic closure. We show contains all subextensions of degree less than if and only if . We prove that for there is no bound on the degree of elements required to generate finite subextensions of . Restricting to Galois subextensions, we prove such a bound does not exist under certain conditions on divisors of , but that one can take when is prime. This question was inspired by work of Bombieri and...
On the computation of resolvents and Galois groups.
On the computation of the class numbers of some cubic fields.
On the Computation of the Galois Group over the Quotient Field of C [...].
On the congruence , where q is a prime and f is a k-normal polynomial
On the conjecture of Lichtenbaum and of Chinburg over function fields.
On the construction of explicit solutions to the matrix equation .