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The Number of Vector Partitions of n (Counted According to the Weight) with the Crank m


Affiliations
1 Department of Mathematics, Raozan University College, Bangladesh
2 Premier University, Bangladesh
 

This article shows how to find all vector partitions of any positive integral values of n, but only all vector partitions of 4, 5 and 6 are shown by algebraically. These must be satisfied by the definitions of crank of vector partitions.

Keywords

Vector Partitions, Crank, Congruences, Modulo.
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  • The Number of Vector Partitions of n (Counted According to the Weight) with the Crank m

Abstract Views: 136  |  PDF Views: 34

Authors

Sabuj Das
Department of Mathematics, Raozan University College, Bangladesh
Haradhan Kumar Mohajan
Premier University, Bangladesh

Abstract


This article shows how to find all vector partitions of any positive integral values of n, but only all vector partitions of 4, 5 and 6 are shown by algebraically. These must be satisfied by the definitions of crank of vector partitions.

Keywords


Vector Partitions, Crank, Congruences, Modulo.

References