Results 111 to 120 of about 2,597 (231)
Solving Diophantine Equation Using Class Number [PDF]
, 2016 Solving Diophantine Equation Using Class ...
Percival, Andrew
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On a diophantine equation of Andrej Dujella [PDF]
, 2013 We investigate positive solutions (x,y) of the Diophantine equation x-(k+1)y=k that satisfy y < k-1, where k≥ 2.
Matthews, Keith R. +5 more
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Multiplicative Diophantine equations
Journal of Number Theory, 1992 The solution of the diophantine equation \(\prod_{i=1}^ n x_ i= \prod_{i=1}^ n y_ i\) is given in terms of \(n^ 2\) parameters (Bell's theorem) [cf. the first author, Proc. Ramanujan Cent. Int. Conf., Annamalainagar/India 1987, RMS Publ. 1, 141-146 (1988; Zbl 0696.10014)].
Srinivasa Rao, K. +2 more
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THE POWERS IN THE SMARANDACHE CUBIC PRODUCT SEQUENCES [PDF]
, 2000 Let P and Q denote the Smarandache cubic product sequences of the first kind and the second kind respectively.
Maohua, Le
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On the Diophantine Equation x2 – kxy + ky2 + ly = 0, l = 2n
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 We consider the Diophantine equation x2-kxy+ky2+ ly = 0 for l = 2n and determine for which values of the odd integer k, it has a positive integer solution x and y.
Mavecha Sukrawan
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The Diophantine equation x2 + 11 = 3n and a related sequence [PDF]
, 1975 It is proven that the Diophantine equation x2 + 11 = 3n has as its only solution (x, n) = (4, 3). This establishes that the Diophantine equation x2 + D = pn, where D ≡ 3(mod 4) and p = (D + 1)4, is prime, has no nontrivial solutions (x, n) for D ≥ 11 ...
Alter, Ronald, Kubota, K.K.
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On Diophantine equations involving Lucas sequences
Open Mathematics, 2019 In this paper, we shall study the Diophantine equation un = R(m)P(m)Q(m), where un is a Lucas sequence and R, P and Q are polynomials (under weak assumptions).
Trojovský Pavel
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An inhomogeneous wave equation and non-linear Diophantine approximation [PDF]
, 2008 A non-linear Diophantine condition involving perfect squares and arising from an inhomogeneous wave equation on the torus guarantees the existence of a smooth solution.
Kristensen, S. +3 more
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Solutions of the diophantine equation ... [PDF]
, 2011 In this paper, we study the diophantine equation 2 x + p y = z 2 where where p is a prime number and x, y and z are non-negative ...
Alongkot Suvarnamani
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Exponential Diophantine equations [PDF]
Pacific Journal of Mathematics, 1982 Brenner, J. L., Foster, Lorraine L.
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