On mock theta functions of Gordon and McIntosh

H. Kaur () and M. Rana ()
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H. Kaur: Thapar Institute of Engineering and Technology
M. Rana: Thapar Institute of Engineering and Technology

Indian Journal of Pure and Applied Mathematics, 2025, vol. 56, issue 4, 1313-1326

Abstract: Abstract A new approach involving the concept of modular Ferrers diagram is employed to interpret the Gordon and McIntosh’s mock theta functions in terms of $${(n+t)}$$ ( n + t ) -color partitions. We then provide the generalized versions of the mock theta functions and their interpretations. We further found some arithmetic properties for two of the mock theta functions $$\beta (q)$$ β ( q ) and $$\xi (q)$$ ξ ( q ) .

Keywords: Mock theta functions; $$(n+t)$$ ( n + t ) -color partitions; Modular Ferrers diagram; Arithmetic properties; 11P81; 11P83; 05A15; 05A17 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13226-024-00536-0

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