Mock Eisenstein series associated to partition ranks

2025/04/10 by Bringmann, Kathrin, Pandey, Badri Vishal, van Ittersum, Jan-Willem · 1 citation
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paper · doi:10.48550/arxiv.2504.07713

Abstract

In this paper, we introduce a new class of mock Eisenstein series, describe their modular properties, and write the partition rank generating function in terms of so-called partition traces of these. Moreover, we show the Fourier coefficients of the mock Eisenstein series are integral and we obtain a holomorphic anomaly equation for their completions.

Cited by

• Quasimodular forms arising from Jacobi's theta function and special symmetric polynomials

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• Mock modular forms from the k-rank moments
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