Pell's equation
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Publication:5917463
zbMath1030.11008MaRDI QIDQ5917463
Publication date: 4 March 2003
Published in: Problem Books in Mathematics (Search for Journal in Brave)
Problem books (00A07) Quadratic and bilinear Diophantine equations (11D09) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01)
Related Items (33)
A note on the use of Rédei polynomials for solving the polynomial Pell equation and its generalization to higher degrees ⋮ On Consecutive Perfect Powers with Elementary Methods ⋮ On the number of Vedernikov-Ein irreducible components of the moduli space of stable rank 2 bundles on the projective space ⋮ Historical and foundational details on the method of infinite descent: every prime number of the form \(4n+1\) is the sum of two squares ⋮ INVERTIBILITY AND EXPLICIT INVERSES OF SKEW CIRCULANT MATRICES INVOLVING THE SUM OF PELL AND PELL-LUCAS NUMBERS ⋮ DETERMINANTS, NORMS AND SPREADS OF SKEW CIRCULANT MATRICES INVOLVING THE SUM OF PELL AND PELL-LUCAS NUMBERS ⋮ High-order parametric polynomial approximation of conic sections ⋮ Solution of certain Pell equations ⋮ Unnamed Item ⋮ On length of the period of the continued fraction of nd ⋮ A Tale of Two by Two Matrices ⋮ On Pell, Pell-Lucas, and balancing numbers ⋮ On the cubic Pell equation over finite fields ⋮ Continued fractions without fractions: Lagrange theorem and Pell equations ⋮ DLP-based cryptosystems with Pell cubics ⋮ Continued fractions as dynamical systems ⋮ Solving some parametric quadratic Diophantine equation over \(\mathbb Z\) and \(\mathbb F_p\) ⋮ The Diophantine equation \(8x^2-y^2+8x(1+t)+(2t+1)^2=0\) and \(t\)-balancing numbers ⋮ Diophantine equation generated by the maximal subfield of a circular field ⋮ Group law on affine conics and applications to cryptography ⋮ Unnamed Item ⋮ Structural types for systems of equations: type refinements for structurally dynamic first-class modular systems of equations ⋮ The Diophantine equation \(x^2-(t^2+t)y^2- (4t+2)x+(4t^2+4t)y=0\) ⋮ Extensions and refinements of some properties of sums involving Pell numbers ⋮ PELL’S EQUATIONS IN GAUSSIAN INTEGERS ⋮ Isomorphism of uniform algebras on the 2-torus ⋮ Primality tests, linear recurrent sequences and the Pell equation ⋮ Pell hyperbolas in DLP-based cryptosystems ⋮ The polynomial Pell equation ⋮ An Algorithmic Implementation of Runge’s Method for Cubic Diophantine Equations ⋮ Effective high-order iterative methods via the asymptotic form of the Taylor-Lagrange remainder ⋮ \(X\)-coordinates of Pell equations in various sequences ⋮ The morphology of
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