Instances of Gordon's Partition Theorem Have Been Hiding in Slater's List!

Andrew Sills

Instances of Gordon's Partition Theorem Have Been Hiding in Slater's List!

Mathematical Sciences

Research output: Contribution to conference › Presentation

Abstract

We will examine three general Bailey pairs and show how the majority of entries in Lucy Slater's list of 130 identiites of Rogers-Ramanujan type follow from them. Further, we will see how a mild extension of Basil Gordon's combinatorial generalization of the Rogers-Ramanujan identities and two closely related partition theorems provide natural combinatorial interpretations for these Slater-list identities.

Original language	American English
State	Published - Mar 16 2010
Event	University of Florida Graduate Number Theory Seminar - Gainesville, FL Duration: Mar 16 2010 → …

Conference

Conference	University of Florida Graduate Number Theory Seminar
Period	03/16/10 → …

Keywords

Bailey pairs
Basil Gordon
Combinatorial generalization
Lucy Slater

DC Disciplines

Mathematics

Cite this

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title = "Instances of Gordon's Partition Theorem Have Been Hiding in Slater's List!",

abstract = " We will examine three general Bailey pairs and show how the majority of entries in Lucy Slater's list of 130 identiites of Rogers-Ramanujan type follow from them. Further, we will see how a mild extension of Basil Gordon's combinatorial generalization of the Rogers-Ramanujan identities and two closely related partition theorems provide natural combinatorial interpretations for these Slater-list identities.",

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note = "ABSTRACT: We will examine three general Bailey pairs and show how the majority of entries in Lucy Slater's list of 130 identiites of Rogers-Ramanujan type follow from them. Further, we will see how a mild extension of Basil Gordon's combinatorial generalization of the Rogers-Ramanujan identities and two closely related partition theorems provide natural combinatorial interpretations for these Slater-list identities.; University of Florida Graduate Number Theory Seminar ; Conference date: 16-03-2010",

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language = "American English",

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PY - 2010/3/16

Y1 - 2010/3/16

N2 - We will examine three general Bailey pairs and show how the majority of entries in Lucy Slater's list of 130 identiites of Rogers-Ramanujan type follow from them. Further, we will see how a mild extension of Basil Gordon's combinatorial generalization of the Rogers-Ramanujan identities and two closely related partition theorems provide natural combinatorial interpretations for these Slater-list identities.

AB - We will examine three general Bailey pairs and show how the majority of entries in Lucy Slater's list of 130 identiites of Rogers-Ramanujan type follow from them. Further, we will see how a mild extension of Basil Gordon's combinatorial generalization of the Rogers-Ramanujan identities and two closely related partition theorems provide natural combinatorial interpretations for these Slater-list identities.

KW - Bailey pairs

KW - Basil Gordon

KW - Combinatorial generalization

KW - Lucy Slater

UR - http://qseries.org/fgarvan/numthy-seminar/10/03-16-10-GS.html

M3 - Presentation

T2 - University of Florida Graduate Number Theory Seminar

Y2 - 16 March 2010

ER -

Instances of Gordon's Partition Theorem Have Been Hiding in Slater's List!

Abstract

Conference

Keywords

DC Disciplines

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Cite this