On partitions with fixed number of even-indexed and odd-indexed odd parts

@article{Berkovich2015OnPW,
  title={On partitions with fixed number of even-indexed and odd-indexed odd parts},
  author={Alexander Berkovich and Ali Kemal Uncu},
  journal={arXiv: Number Theory},
  year={2015}
}
  • Alexander Berkovich, Ali Kemal Uncu
  • Published 2015
  • Mathematics
  • arXiv: Number Theory
  • This article is an extensive study of partitions with fixed number of odd and even-indexed odd parts. We use these partitions to generalize recent results of C. Savage and A. Sills. Moreover, we derive explicit formulas for generating functions for partitions with bounds on the largest part, the number of parts and with a fixed value of BG-rank or with a fixed value of alternating sum of parts. We extend the work of C. Boulet, and as a result, obtain a four-variable generalization of Gaussian… CONTINUE READING

    Tables from this paper.

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 18 REFERENCES

    On a Partition Function of Richard Stanley

    Restricted Partition Pairs

    On partition functions of Andrews and Stanley

    • Ae Ja Yee
    • Mathematics, Computer Science
    • J. Comb. Theory, Ser. A
    • 2004
    VIEW 1 EXCERPT

    A new companion to Capparelli's identities

    VIEW 1 EXCERPT

    Some remarks on sign-balanced and maj-balanced posets

    VIEW 1 EXCERPT

    A four-parameter partition identity

    VIEW 12 EXCERPTS
    HIGHLY INFLUENTIAL

    The Theory of Partitions

    VIEW 2 EXCERPTS