DOIAbstract
AbstractLet K be the cubic subfield of a field of the 163rd root of unity. It is proved that the class number of K is 4. Moreover its Hilbert class field is given explicitly. also a system of the fundamental units is obtained
AbstractLet K be the cubic subfield of a field of the 163rd root of unity. It is proved that the class number of K is 4. Moreover its Hilbert class field is given explicitly. also a system of the fundamental units is obtained
AbstractThe classical genus theory of Gauss has been extended by Hilbert from the quadratic field ov...
AbstractFor real biquadratic fields, the class number formula shows that in many cases the Hilbert c...
AbstractFor real biquadratic fields, the class number formula shows that in many cases the Hilbert c...
AbstractLet K be the cubic subfield of a field of the 163rd root of unity. It is proved that the cla...
ABSTRACT. Class numbers are calculated for cubic fields of the form x3+12Ax-12 0, A> 0, for! a! 1...
The purpose of the work is to tabulate the cubic number fields with discriminants between -20,000 an...
AbstractAn elementary proof is given of the theorem: If D = −3q or −27q is the discriminant of a cub...
For any square-free positive integer m, let H(m) be the class-number of the field Q(ςm+ςm-1 ), where...
194 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009.Finally, we describe methods ...
194 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009.Finally, we describe methods ...
AbstractWe prove that there are effectively only finitely many real cubic number fields of a given c...
AbstractLet Δ(u) denote the discriminant of x3 + (u + 1) x2 − (u + 2) x − 1. The polynomial Δ(u) fac...
AbstractLet Δ(u) denote the discriminant of x3 + (u + 1) x2 − (u + 2) x − 1. The polynomial Δ(u) fac...
Let N denote the sets of positive integers and D is an element of N be square free, and let chi(D), ...
Dirichlet's theorem describes the structure of the group of units of the ring of algebraic integers ...
AbstractThe classical genus theory of Gauss has been extended by Hilbert from the quadratic field ov...
AbstractFor real biquadratic fields, the class number formula shows that in many cases the Hilbert c...
AbstractFor real biquadratic fields, the class number formula shows that in many cases the Hilbert c...
AbstractLet K be the cubic subfield of a field of the 163rd root of unity. It is proved that the cla...
ABSTRACT. Class numbers are calculated for cubic fields of the form x3+12Ax-12 0, A> 0, for! a! 1...
The purpose of the work is to tabulate the cubic number fields with discriminants between -20,000 an...
AbstractAn elementary proof is given of the theorem: If D = −3q or −27q is the discriminant of a cub...
For any square-free positive integer m, let H(m) be the class-number of the field Q(ςm+ςm-1 ), where...
194 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009.Finally, we describe methods ...
194 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009.Finally, we describe methods ...
AbstractWe prove that there are effectively only finitely many real cubic number fields of a given c...
AbstractLet Δ(u) denote the discriminant of x3 + (u + 1) x2 − (u + 2) x − 1. The polynomial Δ(u) fac...
AbstractLet Δ(u) denote the discriminant of x3 + (u + 1) x2 − (u + 2) x − 1. The polynomial Δ(u) fac...
Let N denote the sets of positive integers and D is an element of N be square free, and let chi(D), ...
Dirichlet's theorem describes the structure of the group of units of the ring of algebraic integers ...
AbstractThe classical genus theory of Gauss has been extended by Hilbert from the quadratic field ov...
AbstractFor real biquadratic fields, the class number formula shows that in many cases the Hilbert c...
AbstractFor real biquadratic fields, the class number formula shows that in many cases the Hilbert c...
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