Pell equation
ON THE NEGATIVE PELL EQUATION
... as pell equation and is one of the oldest Diophantine equation that has interesting mathematicians all over the world, since antiquity, ...positive pell equation y 2 Dx 2 1 has ...
6
Observation on the Negative Pell Equation
... y have integer solutions. In this context, one may refer [4-10] for a few negative pell equations with integer solutions. In this communication, the negative pell equation given by y 2 12 x 2 23 ...
7
A Digital Signature Scheme Based on Pell Equation
... Pell Equation. We apply the idea of ECDSA on the solution space of Pell equation to design a digital signature ...on Pell equation is more efficient than its analogue to elliptic ...
5
The Pell Equation X2 Dy2 = ± k2
... specific Pell equations and their integer ...the equation x 2 Dy 2 = 4 , and he ob- tained some formulas for its integer ...the Pell equation x 2 Dy 2 = k 2 when D 1 be a positive ...
7
On The Positive Pell Equation $y^2=90 x^2+31$
... In this paper, we have presented infinitely many integer solutions for the positive pell equation y 2 = 90 x 2 + 31 .As the binary quadratic Diophantine equations are rich in variety, one may search for the ...
7
On The Negative Pell Equation
... Diophantine equation of the form y 2 Dx 2 1 , where D 0 and square free, is known as negative pell ...negative pell equation is represented by y 2 Dx 2 N , N 0 , D 0 and square ...
7
On the Positive Pell Equation y^2=8x^2+49
... The binary quadratic equations of the form y 2 Dx 2 1 where D is non-square positive integer has been selected by various mathematicians for its non-trivial integer solutions when D takes different integral ...
8
ON THE NEGATIVE PELL EQUATION y2=102x2-18
... The binary quadratic equations of the form y 2 Dx 2 1 where D is non-square negative integer has been selected by various mathematicians for its non-trivial integer solutions when D takes different integral ...
8
ON THE P0SITIVE PELL EQUATION y2=34x2+18
... The binary quadratic equations of the form y 2 Dx 2 1 where D is non-square negative integer has been selected by various mathematicians for its non-trivial integer solutions when D takes different integral ...
9
On The Negative Pell Equation Y2 = 30x2 - 45
... The binary quadratic equations of the form y 2 Dx 2 1 where D is non-square positive integer has been selected by various mathematicians for its non-trivial integer solutions when D takes different integral values[1- ...
9
On the Negative Pell Equation y2 = 48x2 23
... The binary quadratic Diophantine equations (both homogeneous and non-homogeneous) are rich in variety. In [1-17] the binary quadratic non-homogeneous equations representing hyperbolas respectively are studied for their ...
8
Construction of Strong Diophantine Quadruples and Pell Equation
... It is worth mentioning here that, when k=0, (6) represents Strong diophantine quadruples with property D(1) in integers, whereas when k>0, (6) represents Strong diophantine quadruple[r] ...
5
On the Positive Pell Equation Y2=35x2+29
... ----------------------------------------------------------------------***--------------------------------------------------------------------- Abstract – The binary quadratic Diophantine equation represented by ...
9
OBSERVATION ON THE POSITIVE PELL EQUATION
... The binary quadratic Diophantine equations of the form ax 2 by 2 N , a , b , N 0 are rich in variety and have been analyzed by many Mathematicians for their respective integer solutions for particular values of ...
9
Observation on the Negative Pell Equation
... Abstract: The binary quadratic equation represented by the negative pellian y 2 40 x 2 36 is analyzed for its distinct integer solutions. A few interesting relations among the solutions are given. Employing ...
8
On the Positive Pell Equation
... The binary quadratic equations of the form y 2 Dx 2 1 where D is non-square positive integer has been selected by various mathematicians for its non-trivial integer solutions when D takes different integral ...
8
On the Positive Pell Equation
... International Journal for Research in Applied Science & Engineering Technology IJRASET ISSN: 2321-9653; IC Value: 45.98; SJ Impact Factor: 6.887 Volume 7 Issue I, Jan 2019- Available at [r] ...
8
On the Positive Pell Equation
... quadratic equation of the form y 2 Dx 2 1 where D is non-square positive integer has been studied by various mathematicians for its non-trivial integral solutions when D takes different integral values ...
8
Observation on the Positive Pell Equation
... quadratic equation of the form y 2 Dx 2 1 where D is non-square positive integer, has been selected by various mathematicians for its non-trivial integer solutions when D takes different integral values ...
7
On Pell, Pell Lucas, and balancing numbers
... this equation to Pell. However, the equation appears in a book by Rahn (1622-1676), which was certainly written with Pell’s help: some say that it is entirely written by ...positive Pell ...
16