Combinatorics of Ramanujan-Slater Type Identities

James McLaughlin; Andrew Sills

Combinatorics of Ramanujan-Slater Type Identities

James McLaughlin, Andrew Sills

Mathematical Sciences

West Chester University of Pennsylvania

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Abstract

We provide the missing member of a family of four q-series identities related to the modulus 36, the other members having been found by Ramanujan and Slater. We examine combinatorial implications of the identities in this family, and of some of the identities we considered in Identities of the Ramanujan-Slater type related to the moduli 18 and 24.

Original language	American English
Journal	Integers
Volume	9S
State	Published - Jan 1 2009

Keywords

Ramanujan-Slater type identities

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Mathematics

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abstract = " We provide the missing member of a family of four q-series identities related to the modulus 36, the other members having been found by Ramanujan and Slater. We examine combinatorial implications of the identities in this family, and of some of the identities we considered in Identities of the Ramanujan-Slater type related to the moduli 18 and 24. ",

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AU - Sills, Andrew

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N2 - We provide the missing member of a family of four q-series identities related to the modulus 36, the other members having been found by Ramanujan and Slater. We examine combinatorial implications of the identities in this family, and of some of the identities we considered in Identities of the Ramanujan-Slater type related to the moduli 18 and 24.

AB - We provide the missing member of a family of four q-series identities related to the modulus 36, the other members having been found by Ramanujan and Slater. We examine combinatorial implications of the identities in this family, and of some of the identities we considered in Identities of the Ramanujan-Slater type related to the moduli 18 and 24.

KW - Ramanujan-Slater type identities

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/165

M3 - Article

SN - 1553-1732

VL - 9S

JO - Integers

JF - Integers

ER -

Combinatorics of Ramanujan-Slater Type Identities

Abstract

Keywords

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