[PDF] Top 20 Observation on the Positive Pell Equation
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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
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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
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On The Positive Pell Equation $y^2=90 x^2+31$
... 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-trival integer solutions when D takes different integral ... See full document
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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 ...the positive ... See full document
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On The Negative Pell Equation Y2 = 30x2 - 45
... non-square positive integer has been selected by various mathematicians for its non-trivial integer solutions when D takes different integral values[1- ...interesting equation given by y 2 30 x 2 45 is ... See full document
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Observations on the Hyperbola $y^2=182x^2+14$
... quadratic equation y 2 = 182 x 2 + 14 representing hyperbola is considered for finding its integer ...many positive integer solutions in terms of Generalized Fibonacci sequences of numbers, Generalized ... 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
... Pell’s equation has intrigued mathematicians for ...Pell’s equation, in its most general form, X 2 − P · Y 2 = 1, where P is any square free positive integer and solutions are pairs of integers, has ... See full document
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On the Positive Integer Solutions for a Diophantine Equation
... Abstract. Let P ≔ P(t) be a polynomial in ZX . In this paper, we consider the polynomial solutions of Diophantine equation D: M − 42S − 8M − 252S − 378 = 0 . We also obtain some formulas and recurrence relations ... See full document
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Construction of Strong Diophantine Quadruples and Pell Equation
... A set of positive integers { a 1 , a 2 ...... a m } is said to have the property D(n), n Z { 0 } , if a i a j n , a perfect square for all 1 i j m and such a set is called a Diophantine m-tuples with ... See full document
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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 ... See full document
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On the Negative Pellian Equation $y^2=110 x^2-29$
... Diophantine equation of the form = + 1, where D is a given positive square-free integer is known as pell equation and is one of the oldest Diophantine equation that has interested ... See full document
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Observation on the Binary Quadratic Equation
... quadratic equation of the form y 2 Dx 2 1 , where D is a non-square positive integer has been studied by various Mathematicians for its non-trivial integral solutions when D takes different integral ... See full document
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On the Positive Pell Equation y^2=8x^2+49
... non-square positive integer has been selected by various mathematicians for its non-trivial integer solutions when D takes different integral ...interesting equation given by y 2 8 x 2 49 is considered ... See full document
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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 ... 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. Employing ... See full document
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On the Positive Pell Equation
... non-square positive integer has been selected by various mathematicians for its non-trivial integer solutions when D takes different integral values[1-4] ...interesting equation given by y 2 17 x 2 8 is ... See full document
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On the Positive Pell Equation
... y 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 [1-2]. For an extensive review of various problems, ... See full document
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 ... See full document
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On the Positive Pell Equation Y2=35x2+29
... ----------------------------------------------------------------------***--------------------------------------------------------------------- Abstract – The binary quadratic Diophantine equation represented by ... See full document
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ON THE NEGATIVE PELL EQUATION
... given positive square-free integer is known as pell equation and is one of the oldest Diophantine equation that has interesting mathematicians all over the world, since antiquity, ...the ... See full document
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