MOCK THETA FUNCTIONS AS GENERATING FUNCTIONS FOR CERTAIN PLANE PARTITIONS

MOCK THETA FUNCTIONS AS GENERATING FUNCTIONS FOR CERTAIN PLANE PARTITIONS

Authors

  • Elen Viviani Spreafico Universidade Federal do Mato Grosso do Sul
  • Robson da Silva Universidade Federal de São Paulo-Unifesp

DOI:

https://doi.org/10.34179/revisem.v9i3.21799

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.

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Published

2024-10-14

How to Cite

Spreafico, E. V., & da Silva, R. (2024). MOCK THETA FUNCTIONS AS GENERATING FUNCTIONS FOR CERTAIN PLANE PARTITIONS. Revista Sergipana De Matemática E Educação Matemática, 9(3), 78–123. https://doi.org/10.34179/revisem.v9i3.21799

Issue

Vol. 9 No. 3 (2024): Revista Sergipana de Matemática e Educação Matemática

Section

Mathematics

License

Copyright (c) 2024 Elen Viviani Spreafico, Robson da Silva

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Licença Creative Commons

  Permite remixagem, adaptação e nova criação a partir da obra para fins não comerciais, e que seja atribuído o crédito ao autor (CC BY-NC)