Vol. 69, No. 2, 1977

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Multisectioned partitions of integers

Richard Grassl

Vol. 69 (1977), No. 2, 415–424

This paper presents identities on generating functions for multisectioned partitions of integers by developing in the language of partitions some powerful and essentially combinatorial techniques from the literature of principal differential ideals. D. Mead has stated in Vol. 42 of this journal that one can obtain interesting combinatorial relations by constructing different vector space bases for a subspace of a differential ring and using the fact that the cardinality of all bases is the same. The results of the present paper are of this nature.

Mathematical Subject Classification 2000
Primary: 05A17
Received: 30 April 1976
Published: 1 April 1977
Richard Grassl