An Inequality for Macaulay Functions
Bernardo M. Ábrego and Silvia Fernández-Merchant
Department of Mathematics
California State University, Northridge
18111 Nordhoff Street
Northridge, CA 91330
Departamento de Matemáticas
Universidad Autónoma Metropolitana, Iztapalapa
San Rafael Atlixco 186
Colonia Vicentina, 09340, México, D.F.
, there is a unique way of
. Using this representation,
Macaulay function of
We show that if
. As a corollary, we obtain a short proof of
Macaulay's theorem. Other previously known results are obtained as
Full version: pdf,
(Concerned with sequences
Received December 18 2010;
revised version received July 8 2011.
Published in Journal of Integer Sequences, September 5 2011.
Journal of Integer Sequences home page