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A DIOPHANTINE PROBLEM CONCERNING POLYGONAL NUMBERS

Part of: Diophantine equations

Published online by Cambridge University Press:  25 January 2013

DAEYEOUL KIM ,
YOON KYUNG PARK  and
ÁKOS PINTÉR
DAEYEOUL KIM
Affiliation:
National Institute for Mathematical Sciences (NIMS), Daejeon 305-811, Korea email daeyeoul@nims.re.kr
YOON KYUNG PARK
Affiliation:
School of Mathematics, Korea Institute for Advanced Study (KIAS), 85 Hoegiro, Dongdaemun-gu, Seoul 130-722, Korea email ykpark@math.kaist.ac.kr
ÁKOS PINTÉR*
Affiliation:
Institute of Mathematics, MTA-DE Research Group ‘Equations, Functions and Curves’, Hungarian Academy of Sciences and University of Debrecen, P. O. Box 12, H-4010 Debrecen, Hungary
*
✉apinter@science.unideb.hu
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Abstract

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Motivated by some earlier Diophantine works on triangular numbers by Ljunggren and Cassels, we consider similar problems for general polygonal numbers.

Keywords

Diophantine equationspolygonal numbers

MSC classification

Secondary: 11D41: Higher degree equations; Fermat's equation
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 88 , Issue 2 , October 2013 , pp. 345 - 350
Copyright
Copyright ©2013 Australian Mathematical Publishing Association Inc. 

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