On algebraic number fields with even class numbers.
On algebraic tori of norm type.
On Alternatives of Polynomial Congruences
What should be assumed about the integral polynomials in order that the solvability of the congruence for sufficiently large primes p implies the solvability of the equation in integers x? We provide some explicit characterizations for the cases when are binomials or have cyclic splitting fields.
On an additive function on the set of ideals of an arbitrary number field
On an analogue of a conjecture of Gross.
On an Analogue of the Sato Conjecture.
On an analogy to the Poisson summation formula for generalized Fourier transformation.
On an approximation property of Pisot numbers II
Let be a complex number, be a positive rational integer and , where denotes the set of polynomials with rational integer coefficients of absolute value . We determine in this note the maximum of the quantities when runs through the interval . We also show that if is a non-real number of modulus , then is a complex Pisot number if and only if for all .
On an Archimedian characterization of the circular units.
On an equation in cyclotomic numbers
On an iterated construction of irreducible polynomials over finite fields of even characteristic by Kyuregyan
We deal with the construction of sequences of irreducible polynomials with coefficients in finite fields of even characteristic. We rely upon a transformation used by Kyuregyan in 2002, which generalizes the -transform employed previously by Varshamov and Garakov (1969) as well as by Meyn (1990) for the synthesis of irreducible polynomials. While in the iterative procedure described by Kyuregyan the coefficients of the initial polynomial of the sequence have to satisfy certain hypotheses, in the...
On annihilators of the class group of an imaginary compositum of quadratic fields
On approximate roots of a polynomial.
On Artin -functions for octic quaternion fields.
On Artin L-Functions Associated to Hilbert Modular Forms of Weight One.
On Artin's conjecture.
On Artin's Conjecture and Euclid's Algorithm in Global Fields.
On Artin-Verdier Duality for Function Fields.
On automorphisms of quaternion orders.
On Bilinear Structures on Divisor Class Groups
It is well known that duality theorems are of utmost importance for the arithmetic of local and global fields and that Brauer groups appear in this context unavoidably. The key word here is class field theory.In this paper we want to make evident that these topics play an important role in public key cryptopgraphy, too. Here the key words are Discrete Logarithm systems with bilinear structures.Almost all public key crypto systems used today based on discrete logarithms use the ideal class groups...