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Combinatorial interpretations as two-line array for the mock theta functions

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Abstract

The mock theta functions introduced by Ramanujan have been studied by many authors both analytically and combinatorially. The combinatorial interpretations that are known for some of them are quite different in nature. In this paper we present combinatorial interpretation as two-line array for many of the classical mock theta functions.

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Correspondence to Eduardo H. M. Brietzke.

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Partially supported by FAPESP (Fundação de Amparo à Pesquisa do Estado de São Paulo).

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Brietzke, E.H.M., Santos, J.P.O. & da Silva, R. Combinatorial interpretations as two-line array for the mock theta functions. Bull Braz Math Soc, New Series 44, 233–253 (2013). https://doi.org/10.1007/s00574-013-0011-0

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  • DOI: https://doi.org/10.1007/s00574-013-0011-0

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