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The Number of Vector Partitions of n with the Crank m

Author

Listed:
  • Das, Sabuj
  • Mohajan, Haradhan

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.

Suggested Citation

  • Das, Sabuj & Mohajan, Haradhan, 2014. "The Number of Vector Partitions of n with the Crank m," MPRA Paper 83697, University Library of Munich, Germany, revised 18 Aug 2014.
    • Handle: RePEc:pra:mprapa:83697
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    File URL: https://mpra.ub.uni-muenchen.de/83697/1/MPRA_paper_83697.pdf
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    Cited by:

    1. Mohajan, Haradhan, 2015. "Generalization of Euler and Ramanujan’s Partition Function," MPRA Paper 83049, University Library of Munich, Germany, revised 06 Nov 2015.

    More about this item

    Keywords

    Vector partitions; Crank; Congruences; Modulo;
    All these keywords.

    JEL classification:

    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

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