DOIAbstract
AbstractIt is proved that ifaandbare different non-zero rational integers then the “simultaneous Pell equations”[formula]have at most 132 solutions in rational integersx,y,z
AbstractIt is proved that ifaandbare different non-zero rational integers then the “simultaneous Pell equations”[formula]have at most 132 solutions in rational integersx,y,z
Let m be a positive integer, and let p be an odd prime. By using certain properties of Pell and quar...
Pell equation (alternatively called the Pell- Fermat equation) is a type of a Diophantine equation o...
For relatively prime integers $a$ and $b$ both greater than one and odd integer $c$, there are at mo...
AbstractIt is proved that ifaandbare different non-zero rational integers then the “simultaneous Pel...
Pell equation is a special type of Diophantine equations of the form x2 − my2 = 1, where m is a posi...
If a and b are distinct positive integers then a previous result of the author implies that the simu...
In this paper, we show that if (X_n, Y_n) is the nth solution of the Pell equation X^2−dY^2= ±1 for ...
On integer solutions to x2 − dy2 = 1, z2 − 2dy2 = 1 by P. G. Walsh (Ottawa, Ont.) 1. Introduction. L...
This paper will discuss the solutions on the simultaneous Pell equations x2 − my2 = 1 and y2 − 11z2 ...
We study a generalization of Pell's equation, whose coefficients are certain algebraic integers. Let...
SummaryIn this article we formalize several basic theorems that correspond to Pell’s equation. We fo...
Let R denote either the integers or the rationals and let d(x) be a square-free polynomial in R[x]. ...
In 1659, John Pell and Johann Rahn wrote a text which explained how to find all integer solutions to...
In this paper, we show that if (Xk,Yk) is the kth solution of the Pell equation X2-dY2=1 for some no...
WOS: 000380694300011Let be an integer and p prime number. It is well-known that the solutions of the...
Let m be a positive integer, and let p be an odd prime. By using certain properties of Pell and quar...
Pell equation (alternatively called the Pell- Fermat equation) is a type of a Diophantine equation o...
For relatively prime integers $a$ and $b$ both greater than one and odd integer $c$, there are at mo...
AbstractIt is proved that ifaandbare different non-zero rational integers then the “simultaneous Pel...
Pell equation is a special type of Diophantine equations of the form x2 − my2 = 1, where m is a posi...
If a and b are distinct positive integers then a previous result of the author implies that the simu...
In this paper, we show that if (X_n, Y_n) is the nth solution of the Pell equation X^2−dY^2= ±1 for ...
On integer solutions to x2 − dy2 = 1, z2 − 2dy2 = 1 by P. G. Walsh (Ottawa, Ont.) 1. Introduction. L...
This paper will discuss the solutions on the simultaneous Pell equations x2 − my2 = 1 and y2 − 11z2 ...
We study a generalization of Pell's equation, whose coefficients are certain algebraic integers. Let...
SummaryIn this article we formalize several basic theorems that correspond to Pell’s equation. We fo...
Let R denote either the integers or the rationals and let d(x) be a square-free polynomial in R[x]. ...
In 1659, John Pell and Johann Rahn wrote a text which explained how to find all integer solutions to...
In this paper, we show that if (Xk,Yk) is the kth solution of the Pell equation X2-dY2=1 for some no...
WOS: 000380694300011Let be an integer and p prime number. It is well-known that the solutions of the...
Let m be a positive integer, and let p be an odd prime. By using certain properties of Pell and quar...
Pell equation (alternatively called the Pell- Fermat equation) is a type of a Diophantine equation o...
For relatively prime integers $a$ and $b$ both greater than one and odd integer $c$, there are at mo...
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