English

Three proofs of the Goulden-Litsyn-Shevelev conjecture on a sequence arising in algebraic geometry

Combinatorics 2013-04-02 v1

Abstract

I. P. Goulden, S. Litsyn, and V. Shevelev [On a sequence arising in algebraic geometry, J. Integer Sequences 8 (2005), 05.4.7] conjectured that certain Laurent polynomials associated with the solution of a functional equation have only odd negative powers. We prove their conjecture and generalize it.

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Cite

@article{arxiv.math/0609071,
  title  = {Three proofs of the Goulden-Litsyn-Shevelev conjecture on a sequence arising in algebraic geometry},
  author = {Brian Drake and Ira M. Gessel and Guoce Xin},
  journal= {arXiv preprint arXiv:math/0609071},
  year   = {2013}
}

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10 pages