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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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- Høibakk, Ralph (author)
- UiT The Arctic University of Norway
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- Lukkassen, Dag (author)
- UiT The Arctic University of Norway
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- Meidell, Annette (author)
- UiT The Arctic University of Norway
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- (creator_code:org_t)
- 2020-02-18
- 2020
- English.
- In: Mathematics. - : MDPI. - 2227-7390. ; 8:2, s. 1-21
- Journal article (peer-reviewed)
Abstract
Subject headings
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- 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) - 2Lz(3) + ( L-2 - a(2) - b(2))z(2) + 2La(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.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- single ladder problem (SLP)
- integer parametric solutions
- simultaneous quadratic equations
- quartic equations
- algebraic equations
- recreational mathematics
- Matematik
- Mathematics
Publication and Content Type
- ref (subject category)
- art (subject category)
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- Karlstad University
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