MOCK THETA FUNCTIONS AS GENERATING FUNCTIONS FOR CERTAIN PLANE PARTITIONS

This paper provides a combinatorial interpretation of mock theta functions as generating functions for certain classes of plane partitions through a uniform procedure. Keywords: Congruence, Cubic partition, 3-core partition.

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Publication Details

Journal
Revista Sergipana de Matemática e Educação Matemática
Published
2024-10-14
DOI
https://doi.org/10.34179/revisem.v9i3.21799
Primary Topic
Advanced Mathematical Identities
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article
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0.00
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article

MOCK THETA FUNCTIONS AS GENERATING FUNCTIONS FOR CERTAIN PLANE PARTITIONS

Robson da Silva, Elen Viviani Pereira Spreafico
Revista Sergipana de Matemática e Educação Matemática
Advanced Mathematical Identities
article

MOCK THETA FUNCTIONS AS GENERATING FUNCTIONS FOR CERTAIN PLANE PARTITIONS

Robson da Silva, Elen Viviani Pereira Spreafico
article en

Abstract

This paper provides a combinatorial interpretation of mock theta functions as generating functions for certain classes of plane partitions through a uniform procedure. Keywords: Congruence, Cubic partition, 3-core partition.

Revista Sergipana de Matemática e Educação MatemáticaVol. 9(3)
Universidade Federal de Mato Grosso do Sul (BR), Universidade Federal de São Paulo (BR)
Openalex Percentile: Top 66%
Advanced Mathematical Identities
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