Generating Functions of the Hurwitz Class Numbers Associated with Certain Mock Theta Functions

Dandan Chen; Rong Chen

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arXiv · 2107.04809

Generating Functions of the Hurwitz Class Numbers Associated with Certain Mock Theta Functions

Dandan Chen·Rong Chen

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Abstract

We find the Hecke-Rogers type series representations of generating functions of the Hurwitz class numbers which is very close to certain mock theta functions. We also prove two combinatorial interpretation of Hurwitz class numbers appeared on OEIS.

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Dandan Chen, Rong Chen. 2021-07-10. Generating Functions of the Hurwitz Class Numbers Associated with Certain Mock Theta Functions. https://arxiv.org/abs/2107.04809

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