On a Remarkable Sequence of Polynomials

Alexandre A. Kirillov; Anna Melnikov

On a Remarkable Sequence of Polynomials

Alexandre A. Kirillov, Anna Melnikov

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

A remarkable sequence of polynomials is considered. These polynomials in q describe in particular the number of solution to the equation X² = 0 in triangular n × n matrices over a field F_q with q elements. They have at least three other important interpretations and a conjectural explicit expression in terms of the entries of the Catalan triangle.

Original language	English
Title of host publication	Séminaires et Congrès
Editors	J. Alev, G. Cauchon
Publisher	Societe Mathematique de France
Pages	35-42
Number of pages	8
Volume	2
ISBN (Print)	2-85629-052-3
State	Published - 1997
Externally published	Yes

Cite this

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title = "On a Remarkable Sequence of Polynomials",

abstract = "A remarkable sequence of polynomials is considered. These polynomials in q describe in particular the number of solution to the equation X2 = 0 in triangular n × n matrices over a field Fq with q elements. They have at least three other important interpretations and a conjectural explicit expression in terms of the entries of the Catalan triangle.",

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AU - Kirillov, Alexandre A.

AU - Melnikov, Anna

PY - 1997

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N2 - A remarkable sequence of polynomials is considered. These polynomials in q describe in particular the number of solution to the equation X2 = 0 in triangular n × n matrices over a field Fq with q elements. They have at least three other important interpretations and a conjectural explicit expression in terms of the entries of the Catalan triangle.

AB - A remarkable sequence of polynomials is considered. These polynomials in q describe in particular the number of solution to the equation X2 = 0 in triangular n × n matrices over a field Fq with q elements. They have at least three other important interpretations and a conjectural explicit expression in terms of the entries of the Catalan triangle.

UR - https://www.emis.de/journals/SC/1997/2/pdf/smf_sem-cong_2_35-42.pdf

M3 - Conference contribution

SN - 2-85629-052-3

VL - 2

SP - 35

EP - 42

BT - Séminaires et Congrès

A2 - Alev, J.

A2 - Cauchon, G.

PB - Societe Mathematique de France

ER -

On a Remarkable Sequence of Polynomials

Abstract

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