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

### Summary

Summary: We prove and generalize a conjecture of Goulden, Litsyn, and Shevelev that certain Laurent polynomials related to the solution of a functional equation have only odd negative powers.

11B83

### Keywords/Phrases

Laurent polynomial, cohomology rings of moduli spaces, Lagrange inversion