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math.NT2025
Summation Formulas for Harmonic Maass Forms
Nikolaos Diamantis, Joshua Pimm
In a previous work (arXiv:2505.05574), a summation formula for harmonic Maass forms of polynomial growth was established. In this note, we use the theory of -series of harmonic…
math.NT2025
Summation formulas for Hurwitz class numbers and other mock modular coefficients
Olivia Beckwith, Nikolaos Diamantis, Rajat Gupta +2
We prove a formula for weighted sums of the first coefficients of mock modular forms of moderate growth and apply it to Hurwitz class numbers and coefficients of negative half…