A Theorem Concerning Partitions and its Consequence in the Theory of Lie Algebras
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 698-700

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In the first part of this paper we state and prove a theorem concerning the partition (j; l, i) of an integer j into at most l integers , none of which exceed i; l and i being themselves integers, (j; l, i) is thus the number of distinct solutions of the equations 1.1 where the satisfy the inequalities 1.2
Hughes, J. W. B. A Theorem Concerning Partitions and its Consequence in the Theory of Lie Algebras. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 698-700. doi: 10.4153/CJM-1968-067-8
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