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Chen, Dandan; Chen, Rong

Generating functions of the Hurwitz class numbers associated with certain mock theta functions. (English) Zbl 07846614

Ramanujan J. 64, No. 2, 371-400 (2024).
Authors’ abstract: We find Hecke-Rogers type series representations of generating functions of the Hurwitz class numbers which are similar to certain mock theta functions. We also prove two combinatorial interpretations of Hurwitz class numbers which appeared on OEIS (see A238872 and A321440).
Reviewer: Meinhard Peters (Münster)

MSC:

11E41 Class numbers of quadratic and Hermitian forms
11P84 Partition identities; identities of Rogers-Ramanujan type
11F37 Forms of half-integer weight; nonholomorphic modular forms

Keywords:

Hurwitz class number; mock theta functions; Hecke-Rogers series
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Full Text: DOI arXiv

References:

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