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ON THE DIOPHANTINE EQUATION $x^m=y^{n_1}+y^{n_2}+\cdots +y^{n_k}$

Published online by Cambridge University Press:  01 January 2009

TOMOHIRO YAMADA
TOMOHIRO YAMADA*
Affiliation:
Department of Mathematics, Faculty of Science, Kyoto University, Kyoto, 606-8502, Japan E-mail: tyamada@math.kyoto-u.ac.jp
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Abstract

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We find all solutions of $x^m=y^{n_1}\pm y^{n_2}\pm y^{n_3}\pm y^{n_4}$ in integers m, n1, n2, n3, n4 for all relatively prime integers x, y below 100.

Keywords

11A0511A25

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 51 , Issue 1 , January 2009, pp. 143 - 148
Copyright
Copyright © Glasgow Mathematical Journal Trust 2008

References

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