A remarkable formula for counting nonintersecting lattice paths in a ladder with respect to turns

Christian Krattenthaler; Maria Prohaska

A remarkable formula for counting nonintersecting lattice paths in a ladder with respect to turns

Christian Krattenthaler
, Maria Prohaska

Publications: Contribution to journal › Article › Peer Reviewed

Abstract

We prove a formula, conjectured by Conca and Herzog, for the number of all families of nonintersecting lattice paths with certain starting and end points in a region that is bounded by an upper ladder. Thus we are able to compute explicitly the Hubert series for certain one-sided ladder determinantal rings. ©1999 American Mathematical Society.

Original language	English
Pages (from-to)	1015-1042
Number of pages	28
Journal	Transactions of the American Mathematical Society
Volume	351
Issue number	3
Publication status	Published - 1999

Austrian Fields of Science 2012

1010 Mathematics

Cite this

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title = "A remarkable formula for counting nonintersecting lattice paths in a ladder with respect to turns",

abstract = "We prove a formula, conjectured by Conca and Herzog, for the number of all families of nonintersecting lattice paths with certain starting and end points in a region that is bounded by an upper ladder. Thus we are able to compute explicitly the Hubert series for certain one-sided ladder determinantal rings. {\textcopyright}1999 American Mathematical Society.",

author = "Christian Krattenthaler and Maria Prohaska",

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AU - Krattenthaler, Christian

AU - Prohaska, Maria

N1 - Affiliations: Institut FüR Mathematik, UniversitäT Wien, Strudlhofgasse 4, A-1090 Wien, Austria Adressen: Krattenthaler, C.; Institut FüR Mathematik; UniversitäT Wien; Strudlhofgasse 4 A-1090 Wien, Austria; email: [email protected] Source-File: 506Scopus.csv Import aus Scopus: 2-s2.0-25144476506 Importdatum: 24.01.2007 11:29:25 22.10.2007: Datenanforderung 1920 (Import Sachbearbeiter) 04.01.2008: Datenanforderung 2054 (Import Sachbearbeiter)

PY - 1999

Y1 - 1999

N2 - We prove a formula, conjectured by Conca and Herzog, for the number of all families of nonintersecting lattice paths with certain starting and end points in a region that is bounded by an upper ladder. Thus we are able to compute explicitly the Hubert series for certain one-sided ladder determinantal rings. ©1999 American Mathematical Society.

AB - We prove a formula, conjectured by Conca and Herzog, for the number of all families of nonintersecting lattice paths with certain starting and end points in a region that is bounded by an upper ladder. Thus we are able to compute explicitly the Hubert series for certain one-sided ladder determinantal rings. ©1999 American Mathematical Society.

M3 - Article

SN - 0002-9947

VL - 351

SP - 1015

EP - 1042

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 3

ER -

A remarkable formula for counting nonintersecting lattice paths in a ladder with respect to turns

Abstract

Austrian Fields of Science 2012

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