Pfaff's method (I): The Mills-Robbins-Rumsey determinant

George E. Andrews

doi:10.1016/S0012-365X(98)00133-2

Pfaff's method (I): The Mills-Robbins-Rumsey determinant

George E. Andrews

Mathematics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

A new evaluation of (formula presented) is provided. The method of proof is inspired by the work of Pfaff. The proof hinges on the summation of many new balanced ₅F₄ hypergeometric series.

Original language	English (US)
Pages (from-to)	43-60
Number of pages	18
Journal	Discrete Mathematics
Volume	193
Issue number	1-3
DOIs	https://doi.org/10.1016/S0012-365X(98)00133-2
State	Published - Nov 28 1998

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/S0012-365X(98)00133-2

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@article{60cf7e344c8f4868ae1914ca9b7f6ba6,

title = "Pfaff's method (I): The Mills-Robbins-Rumsey determinant",

abstract = "A new evaluation of (formula presented) is provided. The method of proof is inspired by the work of Pfaff. The proof hinges on the summation of many new balanced 5F4 hypergeometric series.",

author = "Andrews, {George E.}",

note = "Funding Information: * E-mail: [email protected]. ! Partially supported by National Science Foundation Grant DMS 8702695-04.",

year = "1998",

month = nov,

day = "28",

doi = "10.1016/S0012-365X(98)00133-2",

language = "English (US)",

volume = "193",

pages = "43--60",

journal = "Discrete Mathematics",

issn = "0012-365X",

publisher = "Elsevier B.V.",

number = "1-3",

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TY - JOUR

T1 - Pfaff's method (I)

T2 - The Mills-Robbins-Rumsey determinant

AU - Andrews, George E.

N1 - Funding Information: * E-mail: [email protected]. ! Partially supported by National Science Foundation Grant DMS 8702695-04.

PY - 1998/11/28

Y1 - 1998/11/28

N2 - A new evaluation of (formula presented) is provided. The method of proof is inspired by the work of Pfaff. The proof hinges on the summation of many new balanced 5F4 hypergeometric series.

AB - A new evaluation of (formula presented) is provided. The method of proof is inspired by the work of Pfaff. The proof hinges on the summation of many new balanced 5F4 hypergeometric series.

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UR - http://www.scopus.com/inward/citedby.url?scp=0011295491&partnerID=8YFLogxK

U2 - 10.1016/S0012-365X(98)00133-2

DO - 10.1016/S0012-365X(98)00133-2

M3 - Article

AN - SCOPUS:0011295491

SN - 0012-365X

VL - 193

SP - 43

EP - 60

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 1-3

ER -

Pfaff's method (I): The Mills-Robbins-Rumsey determinant

Abstract

All Science Journal Classification (ASJC) codes

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