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Kirillov's Unimodality Conjecture for the Rectangular Narayana Polynomials
2018
Electronic Journal of Combinatorics
Preserved Fulltext
In the study of Kostka numbers and Catalan numbers, Kirillov posed a unimodality conjecture for the rectangular Narayana polynomials. ...
We prove that the rectangular Narayana polynomials have only real zeros, and thereby confirm Kirillov's unimodality conjecture. ...
Acknowledgements We would like to thank the anonymous referee for the valuable comments. ...
doi:10.37236/6806
fatcat:a5e7ntvdtzfhrka2pdigspd2ru
Kirillov's unimodality conjecture for the rectangular Narayana polynomials
[article]
2016
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
In the study of Kostka numbers and Catalan numbers, Kirillov posed a unimodality conjecture for the rectangular Narayana polynomials. ...
We prove that the rectangular Narayana polynomials have only real zeros, and thereby confirm Kirillov's unimodality conjecture with the help of Newton's inequality. ...
This work was supported by the 973 Project, the PC-SIRT Project of the Ministry of Education and the National Science Foundation of China. ...
arXiv:1601.05863v1
fatcat:62aqsxrub5d3hghei647sdvt6u