مقاله On the identities of modulo-p partitions : تی پی بین

خلاصه مقاله

Some identities between partitions and compositions were obtained in the literature. As a natural extension, we introduce and study modulo-p partitions, where p is a positive integer. Moreover, several recurrence relations and some sufficient conditions for the existence of modulo-p partitions are given, respectively. In addition, we obtain some identities of modulo-p partitions. In the end, using the properties of a binary tree, we provide a method to determine modulo-p partitions.

نویسندگان

Yufei Huang [ School of Mathematical Science, South China Normal University, Guangzhou, 510631, PR China ]

Bolian Liu [ School of Mathematical Science, South China Normal University, Guangzhou, 510631, PR China ]

کلمات کلیدی

p b q) partition (p b) composition Recurrence Identity)

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Mathematical and Computer Modelling 2011

Mathematical and Computer Modeling provides a medium of exchange for the diverse disciplines utilizing mathematical or computer modeling as either a theoretical or working tool. Equal attention is given to the mechanics, methodology and theory of modeling with an attempt to advocate either mathematical or computer modeling, or a combination of the two, in an integrative form. While the unifying aspect of the journal is its adherence to quantitative models, it seeks diversity by being concerned with a variety of disciplines, including engineering, biological, medical, environmental, social, behavioral and other sciences .Both theoretical and applied works which employ mathematical or computer modeling will be considered for publication. Papers dealing with experiments shall be considered when the results are presented as an integral part of the modeling process.

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