JP Journal of Algebra, Number Theory and Applications
Volume 4, Issue 3, Pages 531 - 535
(December 2004)
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ON
PARTITIONS AND SUMS OF TWO SQUARES
Neville Robbins (U. S. A.)
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Abstract: If the integer
n
³
0, let p(n)
denote the number of partitions of n. If
the integer k
³
1, let rk(n)
denote the number of representations of n
as a sum of k integral squares. We obtain
a formula that expresses r2(n)
in terms of p(n). |
Keywords and phrases: partitions, sums of
squares. |
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