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

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

2006-09-03

arxiv.org/abs/math/0609071v1

Mathematics

Combinatorics

10 pages

Scientific paper

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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