Frobenius Partitions and the Combinatorics of Ramanujan's Summation

@article{Corteel2002FrobeniusPA,
  title={Frobenius Partitions and the Combinatorics of Ramanujan's Summation},
  author={S. Corteel and J. Lovejoy},
  journal={J. Comb. Theory, Ser. A},
  year={2002},
  volume={97},
  pages={177-183}
}
  • S. Corteel, J. Lovejoy
  • Published 2002
  • Mathematics, Computer Science
  • J. Comb. Theory, Ser. A
  • We examine the combinatorial significance of Ramanujan's famous summation. In particular, we prove bijectively a partition theoretic identity which implies the summation formula. 
    39 Citations

    Topics from this paper.

    Combinatorial proofs of Ramanujan's 11 summation and the q-Gauss summation
    • A. J. Yee
    • Mathematics, Computer Science
    • J. Comb. Theory, Ser. A
    • 2004
    • 36
    • Highly Influenced
    • PDF
    A short proof of Ramanujan's famous 1V1 summation formula
    • S. H. Chan
    • Computer Science, Mathematics
    • J. Approx. Theory
    • 2005
    • 10
    Combinatorial proofs of identities in basic hypergeometric series
    • A. J. Yee
    • Mathematics, Computer Science
    • Eur. J. Comb.
    • 2008
    • 1
    • PDF
    Combinatorial proofs of identities in basic hypergeometric series
    • Ja Yee
    • 2008
    The Algorithm Z and Ramanujan's $_1\psi_1$ Summation
    Hypergeometric Series Summation Formula
    Partition bijections, a survey
    • 121
    • PDF

    References

    SHOWING 1-10 OF 27 REFERENCES
    AMS Fall Sectional Meeting
    • AMS Fall Sectional Meeting
    • 1998
    Automorphic forms workshop University College Dublin, Ireland. Professional Awards and Grants @BULLET Chateaubriand Fellowship
    • Automorphic forms workshop University College Dublin, Ireland. Professional Awards and Grants @BULLET Chateaubriand Fellowship
    • 2001
    Beitrage zur Theorie der Heineschen Reihen
    • Math. Nach
    • 1949
    CNRS Researcher (CR2), LaBRI and LIAFA
    • CNRS Researcher (CR2), LaBRI and LIAFA
    • 2002
    Conference in honor of André Weil, Institute for Advanced Study
    • Conference in honor of André Weil, Institute for Advanced Study
    • 1998