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A New Look at the Single Ladder Problem (SLP) via Integer Parametric Solutions to the Corresponding Quartic Equation

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Department of Computer Science and Computational Engineering, UiT The Arctic University of Norway, 8514 Narvik, Norway
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Department of Mathematics and Computer Science, Karlstad University, 651 88 Karlstad, Sweden
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Authors to whom correspondence should be addressed.
Mathematics 2020, 8(2), 267; https://doi.org/10.3390/math8020267
Received: 3 January 2020 / Revised: 8 February 2020 / Accepted: 10 February 2020 / Published: 18 February 2020
The aim is to put new light on the single ladder problem (SLP). Some new methods for finding complete integer solutions to the corresponding quartic equation z 4 2 L z 3 + ( L 2 a 2 b 2 ) z 2 + 2 L a 2 z L 2 a 2 = 0 are developed. For the case L L min , these methods imply a complete parametric representation for integer solutions of SLP in the first quadrant. Some corresponding (less complete) results for the case L > L min are also pointed out. View Full-Text
Keywords: single ladder problem (SLP); integer parametric solutions; simultaneous quadratic equations; quartic equations; algebraic equations; recreational mathematics single ladder problem (SLP); integer parametric solutions; simultaneous quadratic equations; quartic equations; algebraic equations; recreational mathematics
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Høibakk, R.; Lukkassen, D.; Meidell, A.; Persson, L.-E. A New Look at the Single Ladder Problem (SLP) via Integer Parametric Solutions to the Corresponding Quartic Equation. Mathematics 2020, 8, 267.

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