A Local-Global Principle for Quadric Forms.
A mean value theorem for the Dedekind Zeta-Function of a quadratic number field.
A mean value theorem of Bombieri's type
A method in diophantine approximation V
A Modular Construction of Unramified p-Extension of Q (...).
A new algorithm for the computation of logarithmic -class groups of number fields.
A New Characterization of the Integer 5906.
A new construction of (t,s)-sequences and some improved bounds on their quality parameter
A new equidistribution property of norms of ideals in given classes
A new solution to the equation .
A Nonvanishing Theorem for the Cuspidal Cohomology of SL2 Over Imaginary Quadratic Integers.
A Non-Vanishing Theorem for Zeta Functions of GLn
A note on 2-dimensional arithmetic symbols on Gl(n, ΣS).
The aim of this note is to offer a summary of the definitions and properties of arithmetic symbols on the linear group Gl(n, F) -F being an arbitrary discrete valuation field- and to show that the natural generalizations of the Parshin symbol on an algebraic surface S to the linear group Gl(n, ΣS) do not allow us to define new 2-dimensional symbols on S.[Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].
A note on a cyclotomic diophantine equation
A note on a recursive formula of the Arf-Kervaire invariant.
A note on Artin's conjecture in algebraic number fields.
A note on basic Iwasawa ?-invariants of imaginary quadratic fields.
A note on basic Iwasawa λ-invariants of imaginary quadratic fields and congruence of modular forms
A note on Catalan's equation
A note on certain semigroups of algebraic numbers
The cross number κ(a) can be defined for any element a of a Krull monoid. The property κ(a) = 1 is important in the study of algebraic numbers with factorizations of distinct lengths. The arithmetic meaning of the weaker property, κ(a) ∈ ℤ, is still unknown, but it does define a semigroup which may be interesting in its own right. This paper studies some arithmetic(divisor theory) and analytic(distribution of elements with a given norm) properties of that semigroup and a related semigroup of ideals....