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

Brian Drake·Ira M. Gessel·Guoce Xin
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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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Brian Drake, Ira M. Gessel, Guoce Xin. 2006-09-03. Three proofs of the Goulden-Litsyn-Shevelev conjecture on a sequence arising in algebraic geometry. https://arxiv.org/abs/math/0609071

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