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SUMS OF DISTINCT INTEGRAL SQUARES IN , AND

Part of: Forms and linear algebraic groups

Published online by Cambridge University Press:  08 September 2011

JI YOUNG KIM  and
YOUNG MIN LEE
JI YOUNG KIM*
Affiliation:
Department of Mathematical Sciences, Seoul National University, Gwanakro 599, Gwanak-gu, Seoul, 151-747, Korea (email: jykim98@snu.ac.kr)
YOUNG MIN LEE
Affiliation:
Department of Mathematical Sciences, Seoul National University, Gwanakro 599, Gwanak-gu, Seoul, 151-747, Korea (email: younglee@snu.ac.kr)
*
✉For correspondence; e-mail: jykim98@snu.ac.kr
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Abstract

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In this article, we determine all the totally positive integers of which can be represented as sums of distinct integral squares, where m=2, 3, 6.

Keywords

totally positive integersum of distinct squares

MSC classification

Secondary: 11E25: Sums of squares and representations by other particular quadratic forms

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 85 , Issue 1 , February 2012 , pp. 1 - 10
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

Footnotes

The first named author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2010-0023321).

References

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