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A problem in number theory
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, The Institute of Technology.
2013 (English)Independent thesis Basic level (degree of Bachelor), 10,5 credits / 16 HE creditsStudent thesis
Abstract [en]

This thesis focuses on a function which moves the last digit of an integer to the first position, e.g. A(123) = 312. The objective of this thesis is to show how one can find all solutions x to the equation A(x)  = kx, where k is a rational number. It also explains the connection between the solutions and certain periodic decimal numbers, and in which way these decimal numbers can be used to solve the equation. Finally, the problem is generalized to other bases than 10.

Place, publisher, year, edition, pages
2013. , 35 p.
Keyword [en]
number theory
Keyword [sv]
National Category
URN: urn:nbn:se:liu:diva-94165ISRN: LiTH-MAT-EX--2013/02--SEOAI: diva2:629709
Subject / course
2013-06-12, Hopningspunkten, Hus B, Linköpings universitet, Linköping, 10:15 (Swedish)
Available from: 2013-06-25 Created: 2013-06-17 Last updated: 2013-06-25Bibliographically approved

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Type fulltextMimetype application/pdf

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Mathematics and Applied MathematicsThe Institute of Technology

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