[PDF] Top 20 Observation on the Negative Pell Equation
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Observation on the Negative Pell Equation
... few negative pell equations with integer ...the negative pell equation given by y 2 12 x 2 23 is considered and analysed for its integer ... See full document
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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. ... See full document
8
On The Negative Pell Equation Y2 = 30x2 - 45
... The binary quadratic Diophantine equation represented by the negative pellian is analyzed for its non-zero distinct solutions. A few interesting relations among the solutions are given. Further, employing ... See full document
9
A Poison Pell for Public Colleges? Pell Grants and Funding for Public Colleges in the U S
... in equation (2) represents a vector of other control variables that includes other elements of state and local budgets expressed as percentage points of state personal ...is negative for ... See full document
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SO L V A B I L I T YCHARC T E R I Z A T I ON S O FP E L LL I KE EQ UA T I ONS
... many Pell-Like equations, the convergent solutions search problem will be answered in the negative, provided that the suggested bound A · √ P < r, where A is a constant, is ... See full document
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On the Negative Pellian Equation $y^2=110 x^2-29$
... the negative pell equation y 2 = 110 x 2 − 29 ...of negative pell equations and determine their integer solutions along with suitable ... See full document
9
ON THE P0SITIVE PELL EQUATION y2=34x2+18
... non-square negative integer has been selected by various mathematicians for its non-trivial integer solutions when D takes different integral ...interesting equation given by y 2 34 x 2 18 is considered ... See full document
9
The Pell Equation X2 Dy2 = ± k2
... Pell’s equation. If D is negative, it can have only a finite number of ...the equation reduces to x ay x ay = N and again there is only a finite number of ...the equation arises ... See full document
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ON THE NEGATIVE PELL EQUATION y2=102x2-18
... non-square negative integer has been selected by various mathematicians for its non-trivial integer solutions when D takes different integral ...interesting equation given by y 2 102 x 2 18 is ... See full document
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 ... See full document
7
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 ... See full document
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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 ... See full document
9
ON THE NEGATIVE PELL EQUATION
... y does not always have a solution. In [1], an elementary proof of a ceriterium for the solvability of the pell equation x 2 Dy 2 1 where D is any positive non-square integer has been presented. For ... See full document
6
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 ...of negative pell equation is represented by y 2 Dx 2 N , N 0 , D ... See full document
7
GENERATING FUNCTIONS FOR PELL AND PELL-LUCAS NUMBERS
... We invite unpublished novel, original, empirical and high quality research work pertaining to recent developments & practices in the area of Computer, Business, Finance, Marketing, [r] ... See full document
16
New identities involving generalized Fibonacci and generalized Lucas numbers
... This paper presents two new identities involving generalized Fibonacci and generalized Lucas numbers. One of these identities generalize the two well-known identities of Sury and Marques which are recently developed. ... See full document
11
Complex Dynamics of Pell Sequence
... of Pell Number sequence has been studied by different researchers, see for instance [5], [7] and ...of Pell Number Sequence, its fixed points and their attracting or repelling ... See full document
7
On the spectral norm of r circulant matrices with the Pell and Pell Lucas numbers
... For example, Bahşi and Solak have studied the norms of r-circulant matrices with the hyperFibonacci and Lucas numbers [], Bozkurt and Tam have obtained some results belong to determinan[r] ... See full document
7
On Pell, Pell Lucas, and balancing numbers
... Ironically, Pell was not the first to work on this problem, nor did he con- tribute to our knowledge for solving ...the equation after Pell, and the name ... See full document
16
Vieta Pell and Vieta Pell Lucas polynomials
... The aim of this paper is to determine the recursive key features of Vieta-Pell and Vieta- Pell-Lucas polynomials. In conjunction with these properties, we examine their interrela- tions and define their ... See full document
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