Add to ORKGThis paper gives criteria to determine whethera prime in Q(pn) can be represented in the form x2+dy2under some certain conditions
AbstractLet A be a positive or negative rational integer such that integers in the field of √1 − 4A ...
It is shown that, under some mild technical conditions, representations of prime numbers by binary q...
En este trabajo estudiamos condiciones para que dado un primo p, este pueda ser representado por me...
AbstractAs is well known, Cox considered the primes of the form x2+ny2. In this paper we impose the ...
In the quadratic number field with the golden section unit, any prime p has associated primes that a...
AbstractTextIt is a theorem of Kaplansky that a prime p≡1(mod16) is representable by both or none of...
Let n be a square-free polynomial over F_q, where q is an odd prime power. In this work, we determin...
AbstractThe following theorem is proved: If p and q are distinct primes of the form 4n + 1, and (p |...
The twin prime conjecture asserts that there are infinitely many positive integers x such that x and...
The old problem of computing the representation of a prime p by a given quadratic form of discrimina...
In this paper, we determine the primitive solutions of diophantine equations x^2+pqy^2=z^2, for posi...
AbstractLet p, q be primes and p>3. Let further x, y and m be positive integers such that (x,y)=1. I...
Celem pracy jest przedstawienie dowodu twierdzenia charakteryzującego liczby pierwsze postaci x2+ny...
A basic question in mathematics asks Which primes are of the form x²+ y²where x and y are integers?...
AbstractNecessary and sufficient conditions for representing certain classes of primes by given quad...
AbstractLet A be a positive or negative rational integer such that integers in the field of √1 − 4A ...
It is shown that, under some mild technical conditions, representations of prime numbers by binary q...
En este trabajo estudiamos condiciones para que dado un primo p, este pueda ser representado por me...
AbstractAs is well known, Cox considered the primes of the form x2+ny2. In this paper we impose the ...
In the quadratic number field with the golden section unit, any prime p has associated primes that a...
AbstractTextIt is a theorem of Kaplansky that a prime p≡1(mod16) is representable by both or none of...
Let n be a square-free polynomial over F_q, where q is an odd prime power. In this work, we determin...
AbstractThe following theorem is proved: If p and q are distinct primes of the form 4n + 1, and (p |...
The twin prime conjecture asserts that there are infinitely many positive integers x such that x and...
The old problem of computing the representation of a prime p by a given quadratic form of discrimina...
In this paper, we determine the primitive solutions of diophantine equations x^2+pqy^2=z^2, for posi...
AbstractLet p, q be primes and p>3. Let further x, y and m be positive integers such that (x,y)=1. I...
Celem pracy jest przedstawienie dowodu twierdzenia charakteryzującego liczby pierwsze postaci x2+ny...
A basic question in mathematics asks Which primes are of the form x²+ y²where x and y are integers?...
AbstractNecessary and sufficient conditions for representing certain classes of primes by given quad...
AbstractLet A be a positive or negative rational integer such that integers in the field of √1 − 4A ...
It is shown that, under some mild technical conditions, representations of prime numbers by binary q...
En este trabajo estudiamos condiciones para que dado un primo p, este pueda ser representado por me...