International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2000 / Article

Open Access

Volume 24 |Article ID 347234 | https://doi.org/10.1155/S016117120000404X

José Plínio, O. Santos, Paulo Mondek, "On partitions with difference conditions", International Journal of Mathematics and Mathematical Sciences, vol. 24, Article ID 347234, 9 pages, 2000. https://doi.org/10.1155/S016117120000404X

On partitions with difference conditions

Received26 Oct 1999

Abstract

We present two general theorems having interesting special cases. From one of them we give a new proof for theorems of Gordon using a bijection and from another we have a new combinatorial interpretation associated with a theorem of Göllnitz.

Copyright © 2000 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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