Three proofs and a generalization of the Goulden-Litsyn-Shevelev conjecture on a sequence arising in algebraic geometry
Journal of integer sequences, Tome 10 (2007) no. 3
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.
Classification :
11B83
Keywords: Laurent polynomial, cohomology rings of moduli spaces, Lagrange inversion
Keywords: Laurent polynomial, cohomology rings of moduli spaces, Lagrange inversion
@article{JIS_2007__10_3_a0,
author = {Drake, Brian and Gessel, Ira M. and Xin, Guoce},
title = {Three proofs and a generalization of the {Goulden-Litsyn-Shevelev} conjecture on a sequence arising in algebraic geometry},
journal = {Journal of integer sequences},
year = {2007},
volume = {10},
number = {3},
zbl = {1243.11015},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2007__10_3_a0/}
}
TY - JOUR AU - Drake, Brian AU - Gessel, Ira M. AU - Xin, Guoce TI - Three proofs and a generalization of the Goulden-Litsyn-Shevelev conjecture on a sequence arising in algebraic geometry JO - Journal of integer sequences PY - 2007 VL - 10 IS - 3 UR - http://geodesic.mathdoc.fr/item/JIS_2007__10_3_a0/ LA - en ID - JIS_2007__10_3_a0 ER -
%0 Journal Article %A Drake, Brian %A Gessel, Ira M. %A Xin, Guoce %T Three proofs and a generalization of the Goulden-Litsyn-Shevelev conjecture on a sequence arising in algebraic geometry %J Journal of integer sequences %D 2007 %V 10 %N 3 %U http://geodesic.mathdoc.fr/item/JIS_2007__10_3_a0/ %G en %F JIS_2007__10_3_a0
Drake, Brian; Gessel, Ira M.; Xin, Guoce. Three proofs and a generalization of the Goulden-Litsyn-Shevelev conjecture on a sequence arising in algebraic geometry. Journal of integer sequences, Tome 10 (2007) no. 3. http://geodesic.mathdoc.fr/item/JIS_2007__10_3_a0/