AbstractThe quadratic fields whose class numbers are divisible by 3 are parametrized as with integers u and w satisfying some conditions. Furthermore every unramified cyclic cubic extension of k is determined as the splitting field of g(Z)=Z3−uwZ−u2
AbstractFollowing a review and new results concerning the discriminants Δ(A,B) = A6 + 4B6 and −3Δ(A,...
In this article we further develop field theory [6], [7], [12] in Mizar [1], [2], [3]: we deal with ...
In number theory, an integer n is quadratic residue modulo an odd prime p if n is congruent to a per...
AbstractThe quadratic fields whose class numbers are divisible by 3 are parametrized as with integer...
AbstractThe author determines all pure cubic fields Q(n3) whose class numbers are multiples of three
AbstractA Pólya field is a number field K, with ring of integers OK, such that the OK-module formed ...
AbstractLet Q((−m)12) and Q((3m)12) be a pair of quadratic fields, m > 0, and let λ−, μ−; λ+, μ+ be ...
In this article we explicitly describe irreducible trinomials X^3-aX+b which gives all the cyclic cu...
Let F0 = Q((-d)½), K0 = Q(d½), and L0 = Q(d½, i) with d a square-free positive intege...
In [4], M. J. Lavallee, B. K. Spearman, K. S. Williams and Q. Yang introduced a certain parametric D...
In [4], M. J. Lavallee, B. K. Spearman, K. S. Williams and Q. Yang introduced a certain parametric D...
We discuss some divisibility results of orders of K-groups and cohomology groups associated to quadr...
ABSTRACT. Given a quadratic field K, we determine the number of quadratic extenaiona of K, which are...
AbstractThe structure of the Galois group of the maximal unramified p-extension of an imaginary quad...
Let $K$ be a cyclic totally real number field of odd degree over $\mathbb{Q}$ with odd class number,...
AbstractFollowing a review and new results concerning the discriminants Δ(A,B) = A6 + 4B6 and −3Δ(A,...
In this article we further develop field theory [6], [7], [12] in Mizar [1], [2], [3]: we deal with ...
In number theory, an integer n is quadratic residue modulo an odd prime p if n is congruent to a per...
AbstractThe quadratic fields whose class numbers are divisible by 3 are parametrized as with integer...
AbstractThe author determines all pure cubic fields Q(n3) whose class numbers are multiples of three
AbstractA Pólya field is a number field K, with ring of integers OK, such that the OK-module formed ...
AbstractLet Q((−m)12) and Q((3m)12) be a pair of quadratic fields, m > 0, and let λ−, μ−; λ+, μ+ be ...
In this article we explicitly describe irreducible trinomials X^3-aX+b which gives all the cyclic cu...
Let F0 = Q((-d)½), K0 = Q(d½), and L0 = Q(d½, i) with d a square-free positive intege...
In [4], M. J. Lavallee, B. K. Spearman, K. S. Williams and Q. Yang introduced a certain parametric D...
In [4], M. J. Lavallee, B. K. Spearman, K. S. Williams and Q. Yang introduced a certain parametric D...
We discuss some divisibility results of orders of K-groups and cohomology groups associated to quadr...
ABSTRACT. Given a quadratic field K, we determine the number of quadratic extenaiona of K, which are...
AbstractThe structure of the Galois group of the maximal unramified p-extension of an imaginary quad...
Let $K$ be a cyclic totally real number field of odd degree over $\mathbb{Q}$ with odd class number,...
AbstractFollowing a review and new results concerning the discriminants Δ(A,B) = A6 + 4B6 and −3Δ(A,...
In this article we further develop field theory [6], [7], [12] in Mizar [1], [2], [3]: we deal with ...
In number theory, an integer n is quadratic residue modulo an odd prime p if n is congruent to a per...
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