AbstractDiscriminantal divisors are defined, and the question is asked: Which discriminantal divisors of a given discriminant d are represented by the principal for f1 of d? Partial answers are given for d = 4kpq, p ≡ q (mod 4) distinct odd primes and k a nonnegative integer. In addition, a complete parametric solution of p = x12 + x22 = −x32 + qx42 = x52 + qx62 is given, whenever p and q are primes such that p is representable by x12 + x22 and x52 + qx62
In this paper we give a survey of recent results obtained by the authors on discriminant and resulta...
AbstractLet h(d) denote the class number of the quadratic field Q(√d) of discriminant d. A number of...
This work consists in presenting answers to the following questions: be the quadratic form ax2 + bxy...
AbstractDiscriminantal divisors are defined, and the question is asked: Which discriminantal divisor...
AbstractIt can be deduced from a result of Gauss that the principal class of discriminant d represen...
The old problem of computing the representation of a prime p by a given quadratic form of discrimina...
AbstractRepresentation of numbers by quadratic forms is closely related to the splitting character o...
AbstractTextIt is a theorem of Kaplansky that a prime p≡1(mod16) is representable by both or none of...
AbstractIn this paper we study congruence conditions on class numbers of binary quadratic discrimina...
ABSTRACT. It is shown how to determine all the proper rep-resentations of a positive integer by a gi...
AbstractWe study the divisibility of the strict class numbers of the quadratic fields of discriminan...
Consider a representative system of the positive, integral binary quadratic forms of a given negativ...
AbstractThe following theorem is proved: If p and q are distinct primes of the form 4n + 1, and (p |...
Abstract: I t is shown that a result of the authors yields an improvement on a theorem of P~ERRE BAR...
AbstractLet Q(−k) be an imaginary quadratic field with discriminant −k and class number h, with k≠3,...
In this paper we give a survey of recent results obtained by the authors on discriminant and resulta...
AbstractLet h(d) denote the class number of the quadratic field Q(√d) of discriminant d. A number of...
This work consists in presenting answers to the following questions: be the quadratic form ax2 + bxy...
AbstractDiscriminantal divisors are defined, and the question is asked: Which discriminantal divisor...
AbstractIt can be deduced from a result of Gauss that the principal class of discriminant d represen...
The old problem of computing the representation of a prime p by a given quadratic form of discrimina...
AbstractRepresentation of numbers by quadratic forms is closely related to the splitting character o...
AbstractTextIt is a theorem of Kaplansky that a prime p≡1(mod16) is representable by both or none of...
AbstractIn this paper we study congruence conditions on class numbers of binary quadratic discrimina...
ABSTRACT. It is shown how to determine all the proper rep-resentations of a positive integer by a gi...
AbstractWe study the divisibility of the strict class numbers of the quadratic fields of discriminan...
Consider a representative system of the positive, integral binary quadratic forms of a given negativ...
AbstractThe following theorem is proved: If p and q are distinct primes of the form 4n + 1, and (p |...
Abstract: I t is shown that a result of the authors yields an improvement on a theorem of P~ERRE BAR...
AbstractLet Q(−k) be an imaginary quadratic field with discriminant −k and class number h, with k≠3,...
In this paper we give a survey of recent results obtained by the authors on discriminant and resulta...
AbstractLet h(d) denote the class number of the quadratic field Q(√d) of discriminant d. A number of...
This work consists in presenting answers to the following questions: be the quadratic form ax2 + bxy...
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