Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
A New Look at the Single Ladder Problem (SLP) via Integer Parametric Solutions to the Corresponding Quartic Equation
UiT The Arctic University of Norway.
UiT The Arctic University of Norway.
UiT The Arctic University of Norway.
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013). UiT The Arctic University of Norway.
2020 (English)In: Mathematics, E-ISSN 2227-7390, Vol. 8, no 2, p. 1-21, article id 267Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
MDPI, 2020. Vol. 8, no 2, p. 1-21, article id 267
Keywords [en]
single ladder problem (SLP), integer parametric solutions, simultaneous quadratic equations, quartic equations, algebraic equations, recreational mathematics
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-77401DOI: 10.3390/math8020267ISI: 000519234000122OAI: oai:DiVA.org:kau-77401DiVA, id: diva2:1421236
Available from: 2020-04-02 Created: 2020-04-02 Last updated: 2020-04-29Bibliographically approved

Open Access in DiVA

fulltext(778 kB)18 downloads
File information
File name FULLTEXT01.pdfFile size 778 kBChecksum SHA-512
436e6cd7c4ebaa195bb34aeaa452c47f37cdc5962a3cdf10c09532080ca3a70a822910313c97cc370542b272240e76f18b06964ff3f837a28dd500b79333f7b9
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Authority records BETA

Persson, Lars-Erik

Search in DiVA

By author/editor
Persson, Lars-Erik
By organisation
Department of Mathematics and Computer Science (from 2013)
In the same journal
Mathematics
Mathematics

Search outside of DiVA

GoogleGoogle Scholar
Total: 18 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 13 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf